327953952 has 36 divisors (see below), whose sum is σ = 932619870. Its totient is φ = 109317888.

The previous prime is 327953947. The next prime is 327953971. The reversal of 327953952 is 259359723.

It can be written as a sum of positive squares in only one way, i.e., 201526416 + 126427536 = 14196^2 + 11244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 327953898 and 327953907.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 569077 + ... + 569652.

Almost surely, 2^327953952 is an apocalyptic number.

327953952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

327953952 is an abundant number, since it is smaller than the sum of its proper divisors (604665918).

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

327953952 is a wasteful number, since it uses less digits than its factorization.

327953952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138745 (or 1138734 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 327953952 is about 18109.4989439244. The cubic root of 327953952 is about 689.6111734955.

The spelling of 327953952 in words is "three hundred twenty-seven million, nine hundred fifty-three thousand, nine hundred fifty-two".