28076613120 has 320 divisors, whose sum is σ = 104984352000. Its totient is φ = 7092707328.

The previous prime is 28076613119. The next prime is 28076613151. The reversal of 28076613120 is 2131667082.

28076613120 is a `hidden beast` number, since 28 + 0 + 7 + 6 + 613 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×28076613120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302591 + ... + 1323969.

It is an arithmetic number, because the mean of its divisors is an integer number (328076100).

Almost surely, 2^28076613120 is an apocalyptic number.

28076613120 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 28076613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52492176000).

28076613120 is an abundant number, since it is smaller than the sum of its proper divisors (76907738880).

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

28076613120 is a wasteful number, since it uses less digits than its factorization.

28076613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21430 (or 21408 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 28076613120 in words is "twenty-eight billion, seventy-six million, six hundred thirteen thousand, one hundred twenty".