28044484416000 has 1280 divisors, whose sum is σ = 114168897722880. Its totient is φ = 6742484582400.

The previous prime is 28044484415971. The next prime is 28044484416017. The reversal of 28044484416000 is 61448444082.

28044484416000 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 4 + 484 + 4 + 160 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×28044484416000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 965937484 + ... + 965966516.

It is an arithmetic number, because the mean of its divisors is an integer number (89194451346).

Almost surely, 2^{28044484416000} is an apocalyptic number.

28044484416000 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 28044484416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57084448861440).

28044484416000 is an abundant number, since it is smaller than the sum of its proper divisors (86124413306880).

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

28044484416000 is a wasteful number, since it uses less digits than its factorization.

28044484416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29131 (or 29099 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 28044484416000 in words is "twenty-eight trillion, forty-four billion, four hundred eighty-four million, four hundred sixteen thousand".