28477632554496 has 640 divisors, whose sum is σ = 89183391897600. Its totient is φ = 8954306887680.

The previous prime is 28477632554467. The next prime is 28477632554597. The reversal of 28477632554496 is 69445523677482.

28477632554496 is a `hidden beast` number, since 2 + 8 + 4 + 7 + 7 + 63 + 2 + 554 + 4 + 9 + 6 = 666.

It is a super-3 number, since 3×28477632554496³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9591656500 + ... + 9591659468.

It is an arithmetic number, because the mean of its divisors is an integer number (139349049840).

Almost surely, 2^{28477632554496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28477632554496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44591695948800).

28477632554496 is an abundant number, since it is smaller than the sum of its proper divisors (60705759343104).

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

28477632554496 is a wasteful number, since it uses less digits than its factorization.

28477632554496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3405 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 28477632554496 in words is "twenty-eight trillion, four hundred seventy-seven billion, six hundred thirty-two million, five hundred fifty-four thousand, four hundred ninety-six".