64728300 has 144 divisors (see below), whose sum is σ = 230596352. Its totient is φ = 13651200.

The previous prime is 64728283. The next prime is 64728311. The reversal of 64728300 is 382746.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 26115 + ... + 28485.

Almost surely, 2^64728300 is an apocalyptic number.

64728300 is a gapful number since it is divisible by the number (60) 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 64728300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115298176).

64728300 is an abundant number, since it is smaller than the sum of its proper divisors (165868052).

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

64728300 is a wasteful number, since it uses less digits than its factorization.

64728300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 64728300 is about 8045.3899843326. The cubic root of 64728300 is about 401.5115723440.

The spelling of 64728300 in words is "sixty-four million, seven hundred twenty-eight thousand, three hundred".