162406728 has 128 divisors (see below), whose sum is σ = 509328000. Its totient is φ = 47496960.

The previous prime is 162406723. The next prime is 162406759. The reversal of 162406728 is 827604261.

162406728 is a `hidden beast` number, since 1 + 624 + 0 + 6 + 7 + 28 = 666.

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 = 162406692 and 162406701.

It is not an unprimeable number, because it can be changed into a prime (162406721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67726 + ... + 70082.

It is an arithmetic number, because the mean of its divisors is an integer number (3979125).

Almost surely, 2^162406728 is an apocalyptic number.

162406728 is a gapful number since it is divisible by the number (18) 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 162406728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254664000).

162406728 is an abundant number, since it is smaller than the sum of its proper divisors (346921272).

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

162406728 is a wasteful number, since it uses less digits than its factorization.

162406728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 162406728 is about 12743.8898300323. The cubic root of 162406728 is about 545.5920149874.

The spelling of 162406728 in words is "one hundred sixty-two million, four hundred six thousand, seven hundred twenty-eight".