1004790528 has 288 divisors, whose sum is σ = 3577817600. Its totient is φ = 271724544.

The previous prime is 1004790499. The next prime is 1004790541. The reversal of 1004790528 is 8250974001.

1004790528 is a `hidden beast` number, since 1 + 0 + 0 + 47 + 90 + 528 = 666.

1004790528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1004790492 and 1004790501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918750 + ... + 919842.

Almost surely, 2^1004790528 is an apocalyptic number.

1004790528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004790528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788908800).

1004790528 is an abundant number, since it is smaller than the sum of its proper divisors (2573027072).

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

1004790528 is a wasteful number, since it uses less digits than its factorization.

1004790528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1004790528 is about 31698.4310021805. The cubic root of 1004790528 is about 1001.5942995249.

The spelling of 1004790528 in words is "one billion, four million, seven hundred ninety thousand, five hundred twenty-eight".