32403753828 has 18 divisors (see below), whose sum is σ = 81909488934. Its totient is φ = 10801251264.

The previous prime is 32403753827. The next prime is 32403753881. The reversal of 32403753828 is 82835730423.

32403753828 is a `hidden beast` number, since 3 + 240 + 375 + 38 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31866534144 + 537219684 = 178512^2 + 23178^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (32403753827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 450052101 + ... + 450052172.

It is an arithmetic number, because the mean of its divisors is an integer number (4550527163).

Almost surely, 2^32403753828 is an apocalyptic number.

It is an amenable number.

32403753828 is an abundant number, since it is smaller than the sum of its proper divisors (49505735106).

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

32403753828 is a wasteful number, since it uses less digits than its factorization.

32403753828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900104283 (or 900104278 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 32403753828 in words is "thirty-two billion, four hundred three million, seven hundred fifty-three thousand, eight hundred twenty-eight".