10983428640 has 72 divisors (see below), whose sum is σ = 37480955148. Its totient is φ = 2928913920.

The previous prime is 10983428633. The next prime is 10983428669. The reversal of 10983428640 is 4682438901.

It is a happy number.

10983428640 is a `hidden beast` number, since 109 + 83 + 428 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10667584656 + 315843984 = 103284^2 + 17772^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3812251 + ... + 3815130.

Almost surely, 2^10983428640 is an apocalyptic number.

10983428640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10983428640 is an abundant number, since it is smaller than the sum of its proper divisors (26497526508).

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

10983428640 is a wasteful number, since it uses less digits than its factorization.

10983428640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627402 (or 7627391 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10983428640 in words is "ten billion, nine hundred eighty-three million, four hundred twenty-eight thousand, six hundred forty".