28624117500 has 480 divisors, whose sum is σ = 106540896000. Its totient is φ = 6570720000.

The previous prime is 28624117453. The next prime is 28624117537. The reversal of 28624117500 is 571142682.

28624117500 is a `hidden beast` number, since 28 + 624 + 1 + 1 + 7 + 5 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 14106486 + ... + 14108514.

It is an arithmetic number, because the mean of its divisors is an integer number (221960200).

Almost surely, 2^28624117500 is an apocalyptic number.

28624117500 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 28624117500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53270448000).

28624117500 is an abundant number, since it is smaller than the sum of its proper divisors (77916778500).

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

28624117500 is a wasteful number, since it uses less digits than its factorization.

28624117500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 28624117500 in words is "twenty-eight billion, six hundred twenty-four million, one hundred seventeen thousand, five hundred".