290924361728 has 864 divisors, whose sum is σ = 851852710800. Its totient is φ = 98099527680.

The previous prime is 290924361727. The next prime is 290924361743. The reversal of 290924361728 is 827163429092.

It is a super-2 number, since 2×290924361728² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 290924361728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290924361727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2999220176 + ... + 2999220272.

Almost surely, 2^290924361728 is an apocalyptic number.

290924361728 is a gapful number since it is divisible by the number (28) 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 290924361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425926355400).

290924361728 is an abundant number, since it is smaller than the sum of its proper divisors (560928349072).

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

290924361728 is a wasteful number, since it uses less digits than its factorization.

290924361728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 290924361728 in words is "two hundred ninety billion, nine hundred twenty-four million, three hundred sixty-one thousand, seven hundred twenty-eight".