28097701632 has 1152 divisors, whose sum is σ = 116039024640. Its totient is φ = 6469632000.

The previous prime is 28097701579. The next prime is 28097701649. The reversal of 28097701632 is 23610779082.

28097701632 is a `hidden beast` number, since 2 + 8 + 0 + 9 + 7 + 7 + 0 + 1 + 632 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 214486207 + ... + 214486337.

It is an arithmetic number, because the mean of its divisors is an integer number (100728320).

Almost surely, 2^28097701632 is an apocalyptic number.

28097701632 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 28097701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58019512320).

28097701632 is an abundant number, since it is smaller than the sum of its proper divisors (87941323008).

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

28097701632 is a wasteful number, since it uses less digits than its factorization.

28097701632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 28097701632 in words is "twenty-eight billion, ninety-seven million, seven hundred one thousand, six hundred thirty-two".