28736446464000 has 2720 divisors, whose sum is σ = 121606776225792. Its totient is φ = 6688604160000.

The previous prime is 28736446463987. The next prime is 28736446464029. The reversal of 28736446464000 is 46464463782.

28736446464000 is a `hidden beast` number, since 2 + 87 + 3 + 64 + 46 + 464 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 226271231937 + ... + 226271232063.

Almost surely, 2^{28736446464000} is an apocalyptic number.

28736446464000 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 28736446464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60803388112896).

28736446464000 is an abundant number, since it is smaller than the sum of its proper divisors (92870329761792).

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

28736446464000 is an equidigital number, since it uses as much as digits as its factorization.

28736446464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 28736446464000 in words is "twenty-eight trillion, seven hundred thirty-six billion, four hundred forty-six million, four hundred sixty-four thousand".