28056464916480 has 3168 divisors, whose sum is σ = 136452689073792. Its totient is φ = 5381459804160.

The previous prime is 28056464916457. The next prime is 28056464916509. The reversal of 28056464916480 is 8461946465082.

28056464916480 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 6 + 4 + 6 + 491 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2158189608954 + ... + 2158189608966.

Almost surely, 2^{28056464916480} is an apocalyptic number.

28056464916480 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 28056464916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68226344536896).

28056464916480 is an abundant number, since it is smaller than the sum of its proper divisors (108396224157312).

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

28056464916480 is an frugal number, since it uses more digits than its factorization.

28056464916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 28056464916480 in words is "twenty-eight trillion, fifty-six billion, four hundred sixty-four million, nine hundred sixteen thousand, four hundred eighty".