28946072064 has 640 divisors, whose sum is σ = 101358512640. Its totient is φ = 7134511104.

The previous prime is 28946072053. The next prime is 28946072087. The reversal of 28946072064 is 46027064982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149979552 + ... + 149979744.

It is an arithmetic number, because the mean of its divisors is an integer number (158372676).

Almost surely, 2^28946072064 is an apocalyptic number.

28946072064 is a gapful number since it is divisible by the number (24) 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 28946072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50679256320).

28946072064 is an abundant number, since it is smaller than the sum of its proper divisors (72412440576).

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

28946072064 is a wasteful number, since it uses less digits than its factorization.

28946072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 28946072064 in words is "twenty-eight billion, nine hundred forty-six million, seventy-two thousand, sixty-four".