628426512 has 200 divisors, whose sum is σ = 2119525056. Its totient is φ = 176027904.

The previous prime is 628426457. The next prime is 628426517. The reversal of 628426512 is 215624826.

It is a happy number.

628426512 is a `hidden beast` number, since 62 + 84 + 2 + 6 + 512 = 666.

It is a super-2 number, since 2×628426512² = 789839761968972288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (628426517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 480163 + ... + 481469.

Almost surely, 2^628426512 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 628426512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059762528).

628426512 is an abundant number, since it is smaller than the sum of its proper divisors (1491098544).

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

628426512 is a wasteful number, since it uses less digits than its factorization.

628426512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1372 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 628426512 is about 25068.4365687212. The cubic root of 628426512 is about 856.5475941299.

The spelling of 628426512 in words is "six hundred twenty-eight million, four hundred twenty-six thousand, five hundred twelve".