64728000 has 336 divisors, whose sum is σ = 247253760. Its totient is φ = 16128000.

The previous prime is 64727933. The next prime is 64728019. The reversal of 64728000 is 82746.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2087985 + ... + 2088015.

Almost surely, 2^64728000 is an apocalyptic number.

64728000 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 64728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123626880).

64728000 is an abundant number, since it is smaller than the sum of its proper divisors (182525760).

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

64728000 is a wasteful number, since it uses less digits than its factorization.

64728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 64728000 is about 8045.3713400936. The cubic root of 64728000 is about 401.5109520401.

The spelling of 64728000 in words is "sixty-four million, seven hundred twenty-eight thousand".