28075813920 has 576 divisors, whose sum is σ = 123456856320. Its totient is φ = 5833175040.

The previous prime is 28075813889. The next prime is 28075813951. The reversal of 28075813920 is 2931857082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28075813889) and next prime (28075813951).

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, 3655204 + ... + 3662876.

It is an arithmetic number, because the mean of its divisors is an integer number (214334820).

Almost surely, 2^28075813920 is an apocalyptic number.

28075813920 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 28075813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61728428160).

28075813920 is an abundant number, since it is smaller than the sum of its proper divisors (95381042400).

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

28075813920 is a wasteful number, since it uses less digits than its factorization.

28075813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 28075813920 in words is "twenty-eight billion, seventy-five million, eight hundred thirteen thousand, nine hundred twenty".