906535728 has 240 divisors, whose sum is σ = 3044694016. Its totient is φ = 246343680.

The previous prime is 906535723. The next prime is 906535757. The reversal of 906535728 is 827535609.

It is a happy number.

906535728 is a `hidden beast` number, since 90 + 6 + 535 + 7 + 28 = 666.

It is a super-2 number, since 2×906535728² = 1643614052280979968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (906535723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093400 + ... + 2093832.

Almost surely, 2^906535728 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 906535728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522347008).

906535728 is an abundant number, since it is smaller than the sum of its proper divisors (2138158288).

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

906535728 is a wasteful number, since it uses less digits than its factorization.

906535728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 906535728 is about 30108.7317567512. The cubic root of 906535728 is about 967.8208522603.

The spelling of 906535728 in words is "nine hundred six million, five hundred thirty-five thousand, seven hundred twenty-eight".