28474170900480 has 640 divisors, whose sum is σ = 108089393092560. Its totient is φ = 7146401955840.

The previous prime is 28474170900437. The next prime is 28474170900533. The reversal of 28474170900480 is 8400907147482.

28474170900480 is a `hidden beast` number, since 2 + 8 + 4 + 7 + 4 + 1 + 70 + 90 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 39 ways as a sum of consecutive naturals, for example, 225544575 + ... + 225670785.

Almost surely, 2^{28474170900480} is an apocalyptic number.

28474170900480 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 28474170900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54044696546280).

28474170900480 is an abundant number, since it is smaller than the sum of its proper divisors (79615222192080).

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

28474170900480 is an equidigital number, since it uses as much as digits as its factorization.

28474170900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126275 (or 126238 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 28474170900480 in words is "twenty-eight trillion, four hundred seventy-four billion, one hundred seventy million, nine hundred thousand, four hundred eighty".