28075878720 has 224 divisors, whose sum is σ = 99195331200. Its totient is φ = 7475576832.

The previous prime is 28075878661. The next prime is 28075878737. The reversal of 28075878720 is 2787857082.

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 31 ways as a sum of consecutive naturals, for example, 6797616 + ... + 6801744.

It is an arithmetic number, because the mean of its divisors is an integer number (442836300).

Almost surely, 2^28075878720 is an apocalyptic number.

28075878720 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 28075878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49597665600).

28075878720 is an abundant number, since it is smaller than the sum of its proper divisors (71119452480).

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

28075878720 is a wasteful number, since it uses less digits than its factorization.

28075878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 28075878720 in words is "twenty-eight billion, seventy-five million, eight hundred seventy-eight thousand, seven hundred twenty".