28748580864000 has 1920 divisors, whose sum is σ = 107072833900032. Its totient is φ = 6817421721600.

The previous prime is 28748580863969. The next prime is 28748580864001. The reversal of 28748580864000 is 46808584782.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28748580864001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166176767914 + ... + 166176768086.

Almost surely, 2^{28748580864000} is an apocalyptic number.

28748580864000 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 28748580864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53536416950016).

28748580864000 is an abundant number, since it is smaller than the sum of its proper divisors (78324253036032).

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

28748580864000 is a wasteful number, since it uses less digits than its factorization.

28748580864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 60.

The spelling of 28748580864000 in words is "twenty-eight trillion, seven hundred forty-eight billion, five hundred eighty million, eight hundred sixty-four thousand".