290528404992 has 1120 divisors, whose sum is σ = 1092305516544. Its totient is φ = 75246796800.

The previous prime is 290528404981. The next prime is 290528404997. The reversal of 290528404992 is 299404825092.

It is a happy number.

290528404992 is a `hidden beast` number, since 2 + 90 + 5 + 28 + 40 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290528404997) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1376911767 + ... + 1376911977.

Almost surely, 2^290528404992 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 290528404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546152758272).

290528404992 is an abundant number, since it is smaller than the sum of its proper divisors (801777111552).

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

290528404992 is an equidigital number, since it uses as much as digits as its factorization.

290528404992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 290528404992 in words is "two hundred ninety billion, five hundred twenty-eight million, four hundred four thousand, nine hundred ninety-two".