288290748880 has 80 divisors (see below), whose sum is σ = 688419938304. Its totient is φ = 112209474560.

The previous prime is 288290748869. The next prime is 288290748883. The reversal of 288290748880 is 88847092882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×288290748880² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288290748883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141497 + ... + 1370983.

Almost surely, 2^288290748880 is an apocalyptic number.

288290748880 is a gapful number since it is divisible by the number (20) 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 288290748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344209969152).

288290748880 is an abundant number, since it is smaller than the sum of its proper divisors (400129189424).

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

288290748880 is a wasteful number, since it uses less digits than its factorization.

288290748880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229924 (or 229918 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 64.

The spelling of 288290748880 in words is "two hundred eighty-eight billion, two hundred ninety million, seven hundred forty-eight thousand, eight hundred eighty".