28737700992 has 1152 divisors, whose sum is σ = 117407646720. Its totient is φ = 6793113600.

The previous prime is 28737700991. The next prime is 28737701059. The reversal of 28737700992 is 29900773782.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (28737700991) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 404756317 + ... + 404756387.

It is an arithmetic number, because the mean of its divisors is an integer number (101916360).

Almost surely, 2^28737700992 is an apocalyptic number.

28737700992 is a gapful number since it is divisible by the number (22) 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 28737700992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58703823360).

28737700992 is an abundant number, since it is smaller than the sum of its proper divisors (88669945728).

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

28737700992 is a wasteful number, since it uses less digits than its factorization.

28737700992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 28737700992 in words is "twenty-eight billion, seven hundred thirty-seven million, seven hundred thousand, nine hundred ninety-two".