32828792832 has 448 divisors, whose sum is σ = 107954795520. Its totient is φ = 9776332800.

The previous prime is 32828792767. The next prime is 32828792839. The reversal of 32828792832 is 23829782823.

It is a happy number.

32828792832 is a `hidden beast` number, since 3 + 282 + 87 + 9 + 283 + 2 = 666.

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 (32828792839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250601407 + ... + 250601537.

Almost surely, 2^32828792832 is an apocalyptic number.

32828792832 is a gapful number since it is divisible by the number (32) 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 32828792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53977397760).

32828792832 is an abundant number, since it is smaller than the sum of its proper divisors (75126002688).

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

32828792832 is a wasteful number, since it uses less digits than its factorization.

32828792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 250 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 32828792832 in words is "thirty-two billion, eight hundred twenty-eight million, seven hundred ninety-two thousand, eight hundred thirty-two".