28456316100 has 81 divisors (see below), whose sum is σ = 89210607213. Its totient is φ = 7587001440.

The previous prime is 28456316069. The next prime is 28456316101. The reversal of 28456316100 is 161365482.

It is a happy number.

The square root of 28456316100 is 168690.

It is a perfect power (a square), and thus also a powerful number.

28456316100 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 6 + 31 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10244273796 + 18212042304 = 101214^2 + 134952^2 .

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 (28456316101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5057889 + ... + 5063511.

Almost surely, 2^28456316100 is an apocalyptic number.

28456316100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28456316100 is the 168690-th square number.

It is an amenable number.

28456316100 is an abundant number, since it is smaller than the sum of its proper divisors (60754291113).

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

28456316100 is an equidigital number, since it uses as much as digits as its factorization.

28456316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11266 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 28456316100 by its sum of digits (36), we get a square (1024427379600 = 1012140²).

28456316100 divided by its sum of digits (36) gives a square (790453225 = 28115²).

The spelling of 28456316100 in words is "twenty-eight billion, four hundred fifty-six million, three hundred sixteen thousand, one hundred".