32151311928 has 192 divisors, whose sum is σ = 93807168000. Its totient is φ = 9917945856.

The previous prime is 32151311911. The next prime is 32151311971. The reversal of 32151311928 is 82911315123.

32151311928 is a `hidden beast` number, since 3 + 2 + 1 + 513 + 119 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32151311892 and 32151311901.

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 47 ways as a sum of consecutive naturals, for example, 10481451 + ... + 10484517.

It is an arithmetic number, because the mean of its divisors is an integer number (488579000).

Almost surely, 2^32151311928 is an apocalyptic number.

32151311928 is a gapful number since it is divisible by the number (38) 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 32151311928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46903584000).

32151311928 is an abundant number, since it is smaller than the sum of its proper divisors (61655856072).

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

32151311928 is a wasteful number, since it uses less digits than its factorization.

32151311928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3267 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 32151311928 in words is "thirty-two billion, one hundred fifty-one million, three hundred eleven thousand, nine hundred twenty-eight".