905828672 has 56 divisors (see below), whose sum is σ = 2109849984. Its totient is φ = 377713152.

The previous prime is 905828657. The next prime is 905828681. The reversal of 905828672 is 276828509.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10748 + ... + 43899.

Almost surely, 2^905828672 is an apocalyptic number.

It is an amenable number.

905828672 is an abundant number, since it is smaller than the sum of its proper divisors (1204021312).

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

905828672 is a wasteful number, since it uses less digits than its factorization.

905828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54703 (or 54693 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 905828672 is about 30096.9877562523. The cubic root of 905828672 is about 967.5691682928.

The spelling of 905828672 in words is "nine hundred five million, eight hundred twenty-eight thousand, six hundred seventy-two".