4233728880 has 120 divisors (see below), whose sum is σ = 14565161520. Its totient is φ = 1101450240.

The previous prime is 4233728857. The next prime is 4233728923. The reversal of 4233728880 is 888273324.

4233728880 is a `hidden beast` number, since 423 + 3 + 72 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42190 + ... + 101229.

It is an arithmetic number, because the mean of its divisors is an integer number (121376346).

Almost surely, 2^4233728880 is an apocalyptic number.

4233728880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4233728880 is an abundant number, since it is smaller than the sum of its proper divisors (10331432640).

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

4233728880 is a wasteful number, since it uses less digits than its factorization.

4233728880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143479 (or 143470 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4233728880 is about 65067.1105859174. The cubic root of 4233728880 is about 1617.7361153353.

It can be divided in two parts, 42337 and 28880, that added together give a palindrome (71217).

The spelling of 4233728880 in words is "four billion, two hundred thirty-three million, seven hundred twenty-eight thousand, eight hundred eighty".