28587371904 has 512 divisors, whose sum is σ = 109971993600. Its totient is φ = 7094697984.

The previous prime is 28587371863. The next prime is 28587371947. The reversal of 28587371904 is 40917378582.

It is a happy number.

28587371904 is a `hidden beast` number, since 28 + 587 + 37 + 1 + 9 + 0 + 4 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5343759 + ... + 5349105.

It is an arithmetic number, because the mean of its divisors is an integer number (214789050).

Almost surely, 2^28587371904 is an apocalyptic number.

28587371904 is a gapful number since it is divisible by the number (24) 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 28587371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54985996800).

28587371904 is an abundant number, since it is smaller than the sum of its proper divisors (81384621696).

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

28587371904 is a wasteful number, since it uses less digits than its factorization.

28587371904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 28587371904 in words is "twenty-eight billion, five hundred eighty-seven million, three hundred seventy-one thousand, nine hundred four".