28682346900 has 72 divisors (see below), whose sum is σ = 84753325440. Its totient is φ = 7485885440.

The previous prime is 28682346899. The next prime is 28682346937. The reversal of 28682346900 is 964328682.

It is a super-2 number, since 2×28682346900² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28682346900.

It is a congruent number.

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, 1003005 + ... + 1031204.

It is an arithmetic number, because the mean of its divisors is an integer number (1177129520).

Almost surely, 2^28682346900 is an apocalyptic number.

28682346900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28682346900 is an abundant number, since it is smaller than the sum of its proper divisors (56070978540).

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

28682346900 is a wasteful number, since it uses less digits than its factorization.

28682346900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034273 (or 2034266 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 28682346900 in words is "twenty-eight billion, six hundred eighty-two million, three hundred forty-six thousand, nine hundred".