28585962720 has 480 divisors, whose sum is σ = 117042444288. Its totient is φ = 6435044352.

The previous prime is 28585962667. The next prime is 28585962721. The reversal of 28585962720 is 2726958582.

It is a happy number.

28585962720 is a `hidden beast` number, since 2 + 8 + 5 + 8 + 5 + 9 + 627 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28585962721) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6075889 + ... + 6080591.

Almost surely, 2^28585962720 is an apocalyptic number.

28585962720 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 28585962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58521222144).

28585962720 is an abundant number, since it is smaller than the sum of its proper divisors (88456481568).

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

28585962720 is a wasteful number, since it uses less digits than its factorization.

28585962720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 28585962720 in words is "twenty-eight billion, five hundred eighty-five million, nine hundred sixty-two thousand, seven hundred twenty".