64928400 has 120 divisors (see below), whose sum is σ = 211635264. Its totient is φ = 17011200.

The previous prime is 64928393. The next prime is 64928401. The reversal of 64928400 is 482946.

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

It is not an unprimeable number, because it can be changed into a prime (64928401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72757 + ... + 73643.

Almost surely, 2^64928400 is an apocalyptic number.

64928400 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 64928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105817632).

64928400 is an abundant number, since it is smaller than the sum of its proper divisors (146706864).

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

64928400 is a wasteful number, since it uses less digits than its factorization.

64928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 64928400 is about 8057.8160812965. The cubic root of 64928400 is about 401.9248888158.

The spelling of 64928400 in words is "sixty-four million, nine hundred twenty-eight thousand, four hundred".