32328192960 has 672 divisors, whose sum is σ = 139683744000. Its totient is φ = 6998648832.

The previous prime is 32328192937. The next prime is 32328193013. The reversal of 32328192960 is 6929182323.

It is a happy number.

32328192960 is a `hidden beast` number, since 32 + 328 + 1 + 9 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×32328192960² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8041831 + ... + 8045849.

Almost surely, 2^32328192960 is an apocalyptic number.

32328192960 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 32328192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69841872000).

32328192960 is an abundant number, since it is smaller than the sum of its proper divisors (107355551040).

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

32328192960 is a wasteful number, since it uses less digits than its factorization.

32328192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 32328192960 in words is "thirty-two billion, three hundred twenty-eight million, one hundred ninety-two thousand, nine hundred sixty".