628416 has 42 divisors (see below), whose sum is σ = 1802892. Its totient is φ = 209280.

The previous prime is 628399. The next prime is 628423. The reversal of 628416 is 614826.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 628416.

It is an unprimeable number.

628416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (42926).

2⁶²⁸⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901446).

628416 is an abundant number, since it is smaller than the sum of its proper divisors (1174476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628416 is a wasteful number, since it uses less digits than its factorization.

628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1096 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 628416 is about 792.7269391159. The cubic root of 628416 is about 85.6542818139.

The spelling of 628416 in words is "six hundred twenty-eight thousand, four hundred sixteen".