10007672328 has 48 divisors (see below), whose sum is σ = 27139327020. Its totient is φ = 3331556736.

The previous prime is 10007672291. The next prime is 10007672333. The reversal of 10007672328 is 82327670001.

It can be written as a sum of positive squares in 2 ways, for example, as 9040586724 + 967085604 = 95082^2 + 31098^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10007672292 and 10007672301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34251 + ... + 145562.

Almost surely, 2^10007672328 is an apocalyptic number.

10007672328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10007672328 is an abundant number, since it is smaller than the sum of its proper divisors (17131654692).

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

10007672328 is a wasteful number, since it uses less digits than its factorization.

10007672328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180598 (or 180591 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10007672328 in words is "ten billion, seven million, six hundred seventy-two thousand, three hundred twenty-eight".