28861761600 has 1008 divisors, whose sum is σ = 124996285440. Its totient is φ = 6173798400.

The previous prime is 28861761571. The next prime is 28861761601. The reversal of 28861761600 is 616716882.

It is a happy number.

28861761600 is a `hidden beast` number, since 28 + 8 + 6 + 1 + 7 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (28861761601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 136785495 + ... + 136785705.

Almost surely, 2^28861761600 is an apocalyptic number.

28861761600 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 28861761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62498142720).

28861761600 is an abundant number, since it is smaller than the sum of its proper divisors (96134523840).

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

28861761600 is a wasteful number, since it uses less digits than its factorization.

28861761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28861761600 in words is "twenty-eight billion, eight hundred sixty-one million, seven hundred sixty-one thousand, six hundred".