28002965760 has 1152 divisors, whose sum is σ = 131391590400. Its totient is φ = 5467668480.

The previous prime is 28002965737. The next prime is 28002965789. The reversal of 28002965760 is 6756920082.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45238731 + ... + 45239349.

It is an arithmetic number, because the mean of its divisors is an integer number (114055200).

Almost surely, 2^28002965760 is an apocalyptic number.

28002965760 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 28002965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65695795200).

28002965760 is an abundant number, since it is smaller than the sum of its proper divisors (103388624640).

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

28002965760 is a wasteful number, since it uses less digits than its factorization.

28002965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28002965760 in words is "twenty-eight billion, two million, nine hundred sixty-five thousand, seven hundred sixty".