28766562300 has 648 divisors, whose sum is σ = 111142886400. Its totient is φ = 6192426240.

The previous prime is 28766562269. The next prime is 28766562317. The reversal of 28766562300 is 326566782.

It is a happy number.

28766562300 is a `hidden beast` number, since 2 + 87 + 6 + 6 + 562 + 3 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80129521 + ... + 80129879.

It is an arithmetic number, because the mean of its divisors is an integer number (171516800).

Almost surely, 2^28766562300 is an apocalyptic number.

28766562300 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 28766562300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55571443200).

28766562300 is an abundant number, since it is smaller than the sum of its proper divisors (82376324100).

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

28766562300 is a wasteful number, since it uses less digits than its factorization.

28766562300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 28766562300 in words is "twenty-eight billion, seven hundred sixty-six million, five hundred sixty-two thousand, three hundred".