10288628352 has 96 divisors (see below), whose sum is σ = 30627616500. Its totient is φ = 3311271936.

The previous prime is 10288628309. The next prime is 10288628359. The reversal of 10288628352 is 25382688201.

10288628352 is a `hidden beast` number, since 10 + 2 + 8 + 8 + 628 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10059287616 + 229340736 = 100296^2 + 15144^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10288628298 and 10288628307.

It is not an unprimeable number, because it can be changed into a prime (10288628359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120577 + ... + 187392.

Almost surely, 2^10288628352 is an apocalyptic number.

10288628352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10288628352 is an abundant number, since it is smaller than the sum of its proper divisors (20338988148).

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

10288628352 is a wasteful number, since it uses less digits than its factorization.

10288628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308018 (or 308003 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10288628352 in words is "ten billion, two hundred eighty-eight million, six hundred twenty-eight thousand, three hundred fifty-two".