667748928 has 336 divisors, whose sum is σ = 2324477952. Its totient is φ = 164275200.

The previous prime is 667748923. The next prime is 667748929. The reversal of 667748928 is 829847766.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (667748923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14207401 + ... + 14207447.

Almost surely, 2^667748928 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 667748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162238976).

667748928 is an abundant number, since it is smaller than the sum of its proper divisors (1656729024).

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

667748928 is a wasteful number, since it uses less digits than its factorization.

667748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 667748928 is about 25840.8383764924. The cubic root of 667748928 is about 874.0529303421.

The spelling of 667748928 in words is "six hundred sixty-seven million, seven hundred forty-eight thousand, nine hundred twenty-eight".