68953728 has 64 divisors (see below), whose sum is σ = 185558400. Its totient is φ = 22683648.

The previous prime is 68953723. The next prime is 68953763. The reversal of 68953728 is 82735986.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (68953723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29200 + ... + 31472.

It is an arithmetic number, because the mean of its divisors is an integer number (2899350).

Almost surely, 2^68953728 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 68953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92779200).

68953728 is an abundant number, since it is smaller than the sum of its proper divisors (116604672).

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

68953728 is a wasteful number, since it uses less digits than its factorization.

68953728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2357 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 68953728 is about 8303.8381487117. The cubic root of 68953728 is about 410.0648876084.

The spelling of 68953728 in words is "sixty-eight million, nine hundred fifty-three thousand, seven hundred twenty-eight".