28551517600 has 144 divisors (see below), whose sum is σ = 70858464768. Its totient is φ = 11232599040.

The previous prime is 28551517537. The next prime is 28551517619. The reversal of 28551517600 is 671515582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 12935697 + ... + 12937903.

It is an arithmetic number, because the mean of its divisors is an integer number (492072672).

Almost surely, 2^28551517600 is an apocalyptic number.

28551517600 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 28551517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35429232384).

28551517600 is an abundant number, since it is smaller than the sum of its proper divisors (42306947168).

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

28551517600 is a wasteful number, since it uses less digits than its factorization.

28551517600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 28551517600 in words is "twenty-eight billion, five hundred fifty-one million, five hundred seventeen thousand, six hundred".