28184920470720 has 1344 divisors, whose sum is σ = 114211266624000. Its totient is φ = 6558582472704.

The previous prime is 28184920470703. The next prime is 28184920470757. The reversal of 28184920470720 is 2707402948182.

28184920470720 is a `hidden beast` number, since 2 + 8 + 1 + 84 + 9 + 20 + 470 + 72 + 0 = 666.

It is a super-2 number, since 2×28184920470720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10928622391 + ... + 10928624969.

It is an arithmetic number, because the mean of its divisors is an integer number (84978621000).

Almost surely, 2^{28184920470720} is an apocalyptic number.

28184920470720 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 28184920470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57105633312000).

28184920470720 is an abundant number, since it is smaller than the sum of its proper divisors (86026346153280).

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

28184920470720 is a wasteful number, since it uses less digits than its factorization.

28184920470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3190 counting only the distinct ones).

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

The spelling of 28184920470720 in words is "twenty-eight trillion, one hundred eighty-four billion, nine hundred twenty million, four hundred seventy thousand, seven hundred twenty".