231632128 has 144 divisors (see below), whose sum is σ = 581934976. Its totient is φ = 89579520.

The previous prime is 231632119. The next prime is 231632147. The reversal of 231632128 is 821236132.

It is a super-3 number, since 3×231632128³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 231632096 and 231632105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420975 + ... + 1421137.

Almost surely, 2^231632128 is an apocalyptic number.

231632128 is a gapful number since it is divisible by the number (28) 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 231632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290967488).

231632128 is an abundant number, since it is smaller than the sum of its proper divisors (350302848).

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

231632128 is a wasteful number, since it uses less digits than its factorization.

231632128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 231632128 is about 15219.4654308225. The cubic root of 231632128 is about 614.1384176540.

The spelling of 231632128 in words is "two hundred thirty-one million, six hundred thirty-two thousand, one hundred twenty-eight".