68828832 has 192 divisors, whose sum is σ = 215913600. Its totient is φ = 21288960.

The previous prime is 68828831. The next prime is 68828839. The reversal of 68828832 is 23882886.

It is a super-2 number, since 2×68828832² = 9474816228968448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68828831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027263 + ... + 1027329.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^68828832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

68828832 is an abundant number, since it is smaller than the sum of its proper divisors (147084768).

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

68828832 is a wasteful number, since it uses less digits than its factorization.

68828832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 68828832 is about 8296.3143624142. The cubic root of 68828832 is about 409.8171542416.

The spelling of 68828832 in words is "sixty-eight million, eight hundred twenty-eight thousand, eight hundred thirty-two".