28439921664000 has 4480 divisors, whose sum is σ = 136206565507584. Its totient is φ = 5733089280000.

The previous prime is 28439921663981. The next prime is 28439921664013. The reversal of 28439921664000 is 46612993482.

28439921664000 is a `hidden beast` number, since 2 + 8 + 439 + 9 + 2 + 166 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

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 319 ways as a sum of consecutive naturals, for example, 389587967964 + ... + 389587968036.

Almost surely, 2^{28439921664000} is an apocalyptic number.

28439921664000 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 28439921664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68103282753792).

28439921664000 is an abundant number, since it is smaller than the sum of its proper divisors (107766643843584).

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

28439921664000 is an equidigital number, since it uses as much as digits as its factorization.

28439921664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 28439921664000 in words is "twenty-eight trillion, four hundred thirty-nine billion, nine hundred twenty-one million, six hundred sixty-four thousand".