83728510164 has 96 divisors (see below), whose sum is σ = 234742865280. Its totient is φ = 25655616000.

The previous prime is 83728510163. The next prime is 83728510213. The reversal of 83728510164 is 46101582738.

83728510164 is a `hidden beast` number, since 8 + 3 + 72 + 8 + 510 + 1 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83728510163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214639 + ... + 462089.

It is an arithmetic number, because the mean of its divisors is an integer number (2445238180).

Almost surely, 2^83728510164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83728510164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117371432640).

83728510164 is an abundant number, since it is smaller than the sum of its proper divisors (151014355116).

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

83728510164 is a wasteful number, since it uses less digits than its factorization.

83728510164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247718 (or 247710 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 83728510164 in words is "eighty-three billion, seven hundred twenty-eight million, five hundred ten thousand, one hundred sixty-four".