4328276400 has 180 divisors, whose sum is σ = 17166181552. Its totient is φ = 989314560.

The previous prime is 4328276371. The next prime is 4328276401. The reversal of 4328276400 is 46728234.

4328276400 is a `hidden beast` number, since 4 + 3 + 2 + 8 + 2 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4328276401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 60679 + ... + 111078.

Almost surely, 2^4328276400 is an apocalyptic number.

4328276400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4328276400 is an abundant number, since it is smaller than the sum of its proper divisors (12837905152).

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

4328276400 is a wasteful number, since it uses less digits than its factorization.

4328276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171788 (or 171774 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4328276400 is about 65789.6374819014. The cubic root of 4328276400 is about 1629.6899808100.

The spelling of 4328276400 in words is "four billion, three hundred twenty-eight million, two hundred seventy-six thousand, four hundred".