946657728 has 168 divisors, whose sum is σ = 2854328048. Its totient is φ = 299593728.

The previous prime is 946657709. The next prime is 946657741. The reversal of 946657728 is 827756649.

946657728 is a `hidden beast` number, since 9 + 4 + 66 + 577 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915900 + ... + 916932.

Almost surely, 2^946657728 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 946657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427164024).

946657728 is an abundant number, since it is smaller than the sum of its proper divisors (1907670320).

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

946657728 is a wasteful number, since it uses less digits than its factorization.

946657728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1118 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 946657728 is about 30767.8034315094. The cubic root of 946657728 is about 981.8933714209.

The spelling of 946657728 in words is "nine hundred forty-six million, six hundred fifty-seven thousand, seven hundred twenty-eight".