28161728784000 has 3072 divisors, whose sum is σ = 128109065011200. Its totient is φ = 6009292800000.

The previous prime is 28161728783983. The next prime is 28161728784011. The reversal of 28161728784000 is 48782716182.

28161728784000 is a `hidden beast` number, since 2 + 8 + 161 + 7 + 2 + 8 + 78 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24467183425 + ... + 24467184575.

It is an arithmetic number, because the mean of its divisors is an integer number (41702169600).

Almost surely, 2^{28161728784000} is an apocalyptic number.

28161728784000 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 28161728784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64054532505600).

28161728784000 is an abundant number, since it is smaller than the sum of its proper divisors (99947336227200).

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

28161728784000 is a wasteful number, since it uses less digits than its factorization.

28161728784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 28161728784000 in words is "twenty-eight trillion, one hundred sixty-one billion, seven hundred twenty-eight million, seven hundred eighty-four thousand".