28364492568960 has 384 divisors, whose sum is σ = 103723709880960. Its totient is φ = 7117830881280.

The previous prime is 28364492568947. The next prime is 28364492568983. The reversal of 28364492568960 is 6986529446382.

28364492568960 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 4 + 492 + 56 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767772249 + ... + 767809191.

It is an arithmetic number, because the mean of its divisors is an integer number (270113827815).

Almost surely, 2^{28364492568960} is an apocalyptic number.

28364492568960 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 28364492568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51861854940480).

28364492568960 is an abundant number, since it is smaller than the sum of its proper divisors (75359217312000).

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

28364492568960 is a wasteful number, since it uses less digits than its factorization.

28364492568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44826 (or 44811 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 28364492568960 in words is "twenty-eight trillion, three hundred sixty-four billion, four hundred ninety-two million, five hundred sixty-eight thousand, nine hundred sixty".