628024320 has 704 divisors, whose sum is σ = 2829772800. Its totient is φ = 128286720.

The previous prime is 628024301. The next prime is 628024337. The reversal of 628024320 is 23420826.

628024320 is a `hidden beast` number, since 628 + 0 + 2 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×628024320² = 788829093022924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644451 + ... + 10644509.

Almost surely, 2^628024320 is an apocalyptic number.

628024320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414886400).

628024320 is an abundant number, since it is smaller than the sum of its proper divisors (2201748480).

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

628024320 is a wasteful number, since it uses less digits than its factorization.

628024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 628024320 is about 25060.4134044113. The cubic root of 628024320 is about 856.3648254200.

The spelling of 628024320 in words is "six hundred twenty-eight million, twenty-four thousand, three hundred twenty".