28416960000 has 1600 divisors, whose sum is σ = 128856752640. Its totient is φ = 6082560000.

The previous prime is 28416959981. The next prime is 28416960041. The reversal of 28416960000 is 6961482.

28416960000 is a `hidden beast` number, since 2 + 8 + 41 + 6 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1235519989 + ... + 1235520011.

Almost surely, 2^28416960000 is an apocalyptic number.

28416960000 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 28416960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64428376320).

28416960000 is an abundant number, since it is smaller than the sum of its proper divisors (100439792640).

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

28416960000 is a wasteful number, since it uses less digits than its factorization.

28416960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 28416960000 in words is "twenty-eight billion, four hundred sixteen million, nine hundred sixty thousand".