28506338100 has 90 divisors (see below), whose sum is σ = 92406312614. Its totient is φ = 7601688000.

The previous prime is 28506338093. The next prime is 28506338101. The reversal of 28506338100 is 183360582.

28506338100 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 633 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1622800656 + 26883537444 = 40284^2 + 163962^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×28506338100² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28506338101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1751551 + ... + 1767750.

Almost surely, 2^28506338100 is an apocalyptic number.

28506338100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28506338100 is an abundant number, since it is smaller than the sum of its proper divisors (63899974514).

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

28506338100 is a wasteful number, since it uses less digits than its factorization.

28506338100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519327 (or 3519311 counting only the distinct ones).

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

Adding to 28506338100 its reverse (183360582), we get a palindrome (28689698682).

The spelling of 28506338100 in words is "twenty-eight billion, five hundred six million, three hundred thirty-eight thousand, one hundred".