162928272 has 80 divisors (see below), whose sum is σ = 479969280. Its totient is φ = 47179776.

The previous prime is 162928267. The next prime is 162928313. The reversal of 162928272 is 272829261.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 162928272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2929 + ... + 18287.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2^162928272 is an apocalyptic number.

162928272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162928272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

162928272 is an abundant number, since it is smaller than the sum of its proper divisors (317041008).

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

162928272 is a wasteful number, since it uses less digits than its factorization.

162928272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15400 (or 15394 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 162928272 is about 12764.3359404240. The cubic root of 162928272 is about 546.1754189537.

The spelling of 162928272 in words is "one hundred sixty-two million, nine hundred twenty-eight thousand, two hundred seventy-two".