83728654580 has 48 divisors (see below), whose sum is σ = 177782898384. Its totient is φ = 33120307200.

The previous prime is 83728654579. The next prime is 83728654589. The reversal of 83728654580 is 8545682738.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2917264 + 83725737316 = 1708^2 + 289354^2 .

It is a Smith number, since the sum of its digits (56) 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 (83728654589) 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, 1698764 + ... + 1747356.

It is an arithmetic number, because the mean of its divisors is an integer number (3703810383).

Almost surely, 2^83728654580 is an apocalyptic number.

It is an amenable number.

83728654580 is an abundant number, since it is smaller than the sum of its proper divisors (94054243804).

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

83728654580 is a wasteful number, since it uses less digits than its factorization.

83728654580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49556 (or 49554 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 83728654580 in words is "eighty-three billion, seven hundred twenty-eight million, six hundred fifty-four thousand, five hundred eighty".