28790588736 has 336 divisors, whose sum is σ = 106916118400. Its totient is φ = 7193235456.

The previous prime is 28790588683. The next prime is 28790588747. The reversal of 28790588736 is 63788509782.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981450 + ... + 1010358.

Almost surely, 2^28790588736 is an apocalyptic number.

28790588736 is a gapful number since it is divisible by the number (26) 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 28790588736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53458059200).

28790588736 is an abundant number, since it is smaller than the sum of its proper divisors (78125529664).

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

28790588736 is a wasteful number, since it uses less digits than its factorization.

28790588736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28966 (or 28953 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 28790588736 in words is "twenty-eight billion, seven hundred ninety million, five hundred eighty-eight thousand, seven hundred thirty-six".