904828536 has 192 divisors, whose sum is σ = 2765599200. Its totient is φ = 273143808.

The previous prime is 904828517. The next prime is 904828541. The reversal of 904828536 is 635828409.

904828536 is a `hidden beast` number, since 90 + 4 + 8 + 28 + 536 = 666.

904828536 is a modest number, since divided by 28536 gives 9048 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 904828491 and 904828500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3088006 + ... + 3088298.

Almost surely, 2^904828536 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 904828536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382799600).

904828536 is an abundant number, since it is smaller than the sum of its proper divisors (1860770664).

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

904828536 is a wasteful number, since it uses less digits than its factorization.

904828536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 904828536 is about 30080.3679498772. The cubic root of 904828536 is about 967.2129356865.

The spelling of 904828536 in words is "nine hundred four million, eight hundred twenty-eight thousand, five hundred thirty-six".