28586924640 has 144 divisors (see below), whose sum is σ = 98465120208. Its totient is φ = 7551894528.

The previous prime is 28586924623. The next prime is 28586924671. The reversal of 28586924640 is 4642968582.

28586924640 is a `hidden beast` number, since 285 + 86 + 9 + 246 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61314 + ... + 246846.

It is an arithmetic number, because the mean of its divisors is an integer number (683785557).

Almost surely, 2^28586924640 is an apocalyptic number.

28586924640 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 28586924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49232560104).

28586924640 is an abundant number, since it is smaller than the sum of its proper divisors (69878195568).

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

28586924640 is a wasteful number, since it uses less digits than its factorization.

28586924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185661 (or 185650 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 28586924640 in words is "twenty-eight billion, five hundred eighty-six million, nine hundred twenty-four thousand, six hundred forty".