28387594656001 has 81 divisors (see below), whose sum is σ = 34995176227809. Its totient is φ = 22959421909200.

The previous prime is 28387594655929. The next prime is 28387594656007. The reversal of 28387594656001 is 10065649578382.

The square root of 28387594656001 is 5328001.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 28387594656001 - 2²¹ = 28387592558849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28387594656007) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49715577046 + ... + 49715577616.

It is an arithmetic number, because the mean of its divisors is an integer number (432039212689).

It is a 1-persistent number, because it is pandigital, but 2⋅28387594656001 = 56775189312002 is not.

Almost surely, 2^{28387594656001} is an apocalyptic number.

28387594656001 is the 5328001-st square number.

28387594656001 is the 2664001-st centered octagonal number.

It is an amenable number.

28387594656001 is a deficient number, since it is larger than the sum of its proper divisors (6607581571808).

28387594656001 is an frugal number, since it uses more digits than its factorization.

28387594656001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 64.

The spelling of 28387594656001 in words is "twenty-eight trillion, three hundred eighty-seven billion, five hundred ninety-four million, six hundred fifty-six thousand, one".