156828672 has 528 divisors, whose sum is σ = 643773312. Its totient is φ = 35389440.

The previous prime is 156828631. The next prime is 156828677. The reversal of 156828672 is 276828651.

156828672 is a `hidden beast` number, since 1 + 568 + 2 + 86 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×156828672² = 49190464722567168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156828677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9225208 + ... + 9225224.

Almost surely, 2^156828672 is an apocalyptic number.

156828672 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 156828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321886656).

156828672 is an abundant number, since it is smaller than the sum of its proper divisors (486944640).

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

156828672 is a wasteful number, since it uses less digits than its factorization.

156828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

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

The square root of 156828672 is about 12523.1254884713. The cubic root of 156828672 is about 539.2727659078.

It can be divided in two parts, 156 and 828672, that added together give a palindrome (828828).

The spelling of 156828672 in words is "one hundred fifty-six million, eight hundred twenty-eight thousand, six hundred seventy-two".