28659104100 has 729 divisors, whose sum is σ = 108212039481. Its totient is φ = 6581995200.

The previous prime is 28659104083. The next prime is 28659104137. The reversal of 28659104100 is 140195682.

The square root of 28659104100 is 169290.

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

28659104100 is a `hidden beast` number, since 28 + 6 + 591 + 0 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10317277476 + 18341826624 = 101574^2 + 135432^2 .

It is a tau number, because it is divible by the number of its divisors (729).

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1508373891 + ... + 1508373909.

Almost surely, 2^28659104100 is an apocalyptic number.

28659104100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28659104100 is the 169290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28659104100

28659104100 is an abundant number, since it is smaller than the sum of its proper divisors (79552935381).

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

28659104100 is a wasteful number, since it uses less digits than its factorization.

28659104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 28659104100 by its sum of digits (36), we get a square (1031727747600 = 1015740²).

28659104100 divided by its sum of digits (36) gives a square (796086225 = 28215²).

Adding to 28659104100 its reverse (140195682), we get a palindrome (28799299782).

The spelling of 28659104100 in words is "twenty-eight billion, six hundred fifty-nine million, one hundred four thousand, one hundred".