905531328 has 336 divisors, whose sum is σ = 2982260736. Its totient is φ = 260720640.

The previous prime is 905531311. The next prime is 905531369. The reversal of 905531328 is 823135509.

905531328 is a `hidden beast` number, since 90 + 5 + 531 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 905531292 and 905531301.

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 47 ways as a sum of consecutive naturals, for example, 10909975 + ... + 10910057.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^905531328 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 905531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491130368).

905531328 is an abundant number, since it is smaller than the sum of its proper divisors (2076729408).

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

905531328 is a wasteful number, since it uses less digits than its factorization.

905531328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 905531328 is about 30092.0475873610. The cubic root of 905531328 is about 967.4632864702.

The spelling of 905531328 in words is "nine hundred five million, five hundred thirty-one thousand, three hundred twenty-eight".