290728502064 has 1080 divisors, whose sum is σ = 1182382791408. Its totient is φ = 65539031040.

The previous prime is 290728502039. The next prime is 290728502089. The reversal of 290728502064 is 460205827092.

290728502064 is a `hidden beast` number, since 290 + 7 + 285 + 0 + 20 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (290728502039) and next prime (290728502089).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 291602814 + ... + 291603810.

Almost surely, 2^290728502064 is an apocalyptic number.

290728502064 is a gapful number since it is divisible by the number (24) 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 290728502064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591191395704).

290728502064 is an abundant number, since it is smaller than the sum of its proper divisors (891654289344).

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

290728502064 is a wasteful number, since it uses less digits than its factorization.

290728502064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 290728502064 in words is "two hundred ninety billion, seven hundred twenty-eight million, five hundred two thousand, sixty-four".