290828520 has 96 divisors (see below), whose sum is σ = 1000813320. Its totient is φ = 72990720.

The previous prime is 290828507. The next prime is 290828521. The reversal of 290828520 is 25828092.

It can be written as a sum of positive squares in 4 ways, for example, as 288524196 + 2304324 = 16986^2 + 1518^2 .

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

It is not an unprimeable number, because it can be changed into a prime (290828521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17641 + ... + 29880.

Almost surely, 2^290828520 is an apocalyptic number.

290828520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290828520 is an abundant number, since it is smaller than the sum of its proper divisors (709984800).

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

290828520 is a wasteful number, since it uses less digits than its factorization.

290828520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47555 (or 47548 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 290828520 is about 17053.6952007475. The cubic root of 290828520 is about 662.5403473707.

The spelling of 290828520 in words is "two hundred ninety million, eight hundred twenty-eight thousand, five hundred twenty".