28614373920 has 576 divisors, whose sum is σ = 115784847360. Its totient is φ = 6357657600.

The previous prime is 28614373883. The next prime is 28614373961. The reversal of 28614373920 is 2937341682.

28614373920 is a `hidden beast` number, since 2 + 8 + 614 + 3 + 7 + 3 + 9 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9328227 + ... + 9331293.

It is an arithmetic number, because the mean of its divisors is an integer number (201015360).

Almost surely, 2^28614373920 is an apocalyptic number.

28614373920 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 28614373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57892423680).

28614373920 is an abundant number, since it is smaller than the sum of its proper divisors (87170473440).

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

28614373920 is a wasteful number, since it uses less digits than its factorization.

28614373920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 286143 and 73920, that added together give a palindrome (360063).

The spelling of 28614373920 in words is "twenty-eight billion, six hundred fourteen million, three hundred seventy-three thousand, nine hundred twenty".