28835522100 has 756 divisors, whose sum is σ = 118104753312. Its totient is φ = 5978966400.

The previous prime is 28835522071. The next prime is 28835522101. The reversal of 28835522100 is 122553882.

28835522100 is a `hidden beast` number, since 2 + 8 + 83 + 552 + 21 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (28835522101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 61746067 + ... + 61746533.

Almost surely, 2^28835522100 is an apocalyptic number.

28835522100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28835522100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59052376656).

28835522100 is an abundant number, since it is smaller than the sum of its proper divisors (89269231212).

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

28835522100 is a wasteful number, since it uses less digits than its factorization.

28835522100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 28835522100 in words is "twenty-eight billion, eight hundred thirty-five million, five hundred twenty-two thousand, one hundred".