28008542100 has 864 divisors, whose sum is σ = 113878711296. Its totient is φ = 5227622400.

The previous prime is 28008542099. The next prime is 28008542141. The reversal of 28008542100 is 124580082.

It is a super-4 number, since 4×28008542100⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63224479 + ... + 63224921.

It is an arithmetic number, because the mean of its divisors is an integer number (131804064).

Almost surely, 2^28008542100 is an apocalyptic number.

28008542100 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 28008542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56939355648).

28008542100 is an abundant number, since it is smaller than the sum of its proper divisors (85870169196).

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

28008542100 is a wasteful number, since it uses less digits than its factorization.

28008542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 28008542100 in words is "twenty-eight billion, eight million, five hundred forty-two thousand, one hundred".