28859846400 has 1296 divisors, whose sum is σ = 133958592768. Its totient is φ = 5971968000.

The previous prime is 28859846399. The next prime is 28859846429. The reversal of 28859846400 is 464895882.

28859846400 is a `hidden beast` number, since 2 + 8 + 8 + 598 + 4 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119750280 + ... + 119750520.

Almost surely, 2^28859846400 is an apocalyptic number.

28859846400 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 28859846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66979296384).

28859846400 is an abundant number, since it is smaller than the sum of its proper divisors (105098746368).

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

28859846400 is a wasteful number, since it uses less digits than its factorization.

28859846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 28859846400 in words is "twenty-eight billion, eight hundred fifty-nine million, eight hundred forty-six thousand, four hundred".