28628900460 has 72 divisors (see below), whose sum is σ = 87700865616. Its totient is φ = 7558780800.

The previous prime is 28628900441. The next prime is 28628900483. The reversal of 28628900460 is 6400982682.

28628900460 is a `hidden beast` number, since 2 + 86 + 28 + 90 + 0 + 460 = 666.

It is a super-2 number, since 2×28628900460² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769194 + ... + 805553.

It is an arithmetic number, because the mean of its divisors is an integer number (1218067578).

Almost surely, 2^28628900460 is an apocalyptic number.

28628900460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28628900460 is an abundant number, since it is smaller than the sum of its proper divisors (59071965156).

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

28628900460 is a wasteful number, since it uses less digits than its factorization.

28628900460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574863 (or 1574858 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28628900460 in words is "twenty-eight billion, six hundred twenty-eight million, nine hundred thousand, four hundred sixty".