288628631460 has 144 divisors (see below), whose sum is σ = 943201140336. Its totient is φ = 71020855296.

The previous prime is 288628631411. The next prime is 288628631461. The reversal of 288628631460 is 64136826882.

288628631460 is a `hidden beast` number, since 2 + 8 + 8 + 628 + 6 + 3 + 1 + 4 + 6 + 0 = 666.

288628631460 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17039647296 + 271588984164 = 130536^2 + 521142^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288628631397 and 288628631406.

It is not an unprimeable number, because it can be changed into a prime (288628631461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6757692 + ... + 6800268.

It is an arithmetic number, because the mean of its divisors is an integer number (6550007919).

Almost surely, 2^288628631460 is an apocalyptic number.

288628631460 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 288628631460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471600570168).

288628631460 is an abundant number, since it is smaller than the sum of its proper divisors (654572508876).

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

288628631460 is a wasteful number, since it uses less digits than its factorization.

288628631460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45502 (or 45497 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 288628631460 in words is "two hundred eighty-eight billion, six hundred twenty-eight million, six hundred thirty-one thousand, four hundred sixty".