32628496320 has 1008 divisors, whose sum is σ = 141115328640. Its totient is φ = 6876721152.

The previous prime is 32628496297. The next prime is 32628496331. The reversal of 32628496320 is 2369482623.

It is a happy number.

32628496320 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 8 + 4 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 115294899 + ... + 115295181.

Almost surely, 2^32628496320 is an apocalyptic number.

32628496320 is a gapful number since it is divisible by the number (30) 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 32628496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70557664320).

32628496320 is an abundant number, since it is smaller than the sum of its proper divisors (108486832320).

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

32628496320 is a wasteful number, since it uses less digits than its factorization.

32628496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 32628496320 in words is "thirty-two billion, six hundred twenty-eight million, four hundred ninety-six thousand, three hundred twenty".