28736809920 has 1344 divisors, whose sum is σ = 133136640000. Its totient is φ = 5518098432.

The previous prime is 28736809883. The next prime is 28736809957. The reversal of 28736809920 is 2990863782.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28736809883) and next prime (28736809957).

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 144405981 + ... + 144406179.

It is an arithmetic number, because the mean of its divisors is an integer number (99060000).

Almost surely, 2^28736809920 is an apocalyptic number.

28736809920 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 28736809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320000).

28736809920 is an abundant number, since it is smaller than the sum of its proper divisors (104399830080).

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

28736809920 is a wasteful number, since it uses less digits than its factorization.

28736809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 28736809920 in words is "twenty-eight billion, seven hundred thirty-six million, eight hundred nine thousand, nine hundred twenty".