628512 has 24 divisors (see below), whose sum is σ = 1650096. Its totient is φ = 209472.

The previous prime is 628499. The next prime is 628547. The reversal of 628512 is 215826.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3178 + ... + 3369.

It is an arithmetic number, because the mean of its divisors is an integer number (68754).

2⁶²⁸⁵¹² is an apocalyptic number.

It is an amenable number.

628512 is an abundant number, since it is smaller than the sum of its proper divisors (1021584).

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

628512 is a wasteful number, since it uses less digits than its factorization.

628512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6552 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 628512 is about 792.7874872877. The cubic root of 628512 is about 85.6586432519.

Subtracting from 628512 its reverse (215826), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 628512 in words is "six hundred twenty-eight thousand, five hundred twelve".