28413077280 has 768 divisors, whose sum is σ = 113799168000. Its totient is φ = 5933813760.

The previous prime is 28413077239. The next prime is 28413077359. The reversal of 28413077280 is 8277031482.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96972814 + ... + 96973106.

It is an arithmetic number, because the mean of its divisors is an integer number (148176000).

Almost surely, 2^28413077280 is an apocalyptic number.

28413077280 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 28413077280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56899584000).

28413077280 is an abundant number, since it is smaller than the sum of its proper divisors (85386090720).

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

28413077280 is a wasteful number, since it uses less digits than its factorization.

28413077280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 28413077280 in words is "twenty-eight billion, four hundred thirteen million, seventy-seven thousand, two hundred eighty".