28264890600 has 192 divisors, whose sum is σ = 100714536000. Its totient is φ = 7277356800.

The previous prime is 28264890587. The next prime is 28264890611. The reversal of 28264890600 is 609846282.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66355 + ... + 246845.

It is an arithmetic number, because the mean of its divisors is an integer number (524554875).

Almost surely, 2^28264890600 is an apocalyptic number.

28264890600 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 28264890600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50357268000).

28264890600 is an abundant number, since it is smaller than the sum of its proper divisors (72449645400).

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

28264890600 is a wasteful number, since it uses less digits than its factorization.

28264890600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180545 (or 180530 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 282648 and 90600, that added together give a cube (373248 = 72³).

The spelling of 28264890600 in words is "twenty-eight billion, two hundred sixty-four million, eight hundred ninety thousand, six hundred".