28766556000 has 768 divisors, whose sum is σ = 128918200320. Its totient is φ = 6067353600.

The previous prime is 28766555981. The next prime is 28766556017. The reversal of 28766556000 is 65566782.

28766556000 is a `hidden beast` number, since 2 + 87 + 6 + 6 + 5 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×28766556000² (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9826537 + ... + 9829463.

It is an arithmetic number, because the mean of its divisors is an integer number (167862240).

Almost surely, 2^28766556000 is an apocalyptic number.

28766556000 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 28766556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64459100160).

28766556000 is an abundant number, since it is smaller than the sum of its proper divisors (100151644320).

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

28766556000 is a wasteful number, since it uses less digits than its factorization.

28766556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 28766556000 in words is "twenty-eight billion, seven hundred sixty-six million, five hundred fifty-six thousand".