64028100 has 144 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 15765120.

The previous prime is 64028099. The next prime is 64028123. The reversal of 64028100 is 182046.

It is a super-3 number, since 3×64028100³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 267781 + ... + 268019.

It is an arithmetic number, because the mean of its divisors is an integer number (1388800).

Almost surely, 2^64028100 is an apocalyptic number.

64028100 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 64028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

64028100 is an abundant number, since it is smaller than the sum of its proper divisors (135959100).

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

64028100 is a wasteful number, since it uses less digits than its factorization.

64028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 64028100 is about 8001.7560572664. The cubic root of 64028100 is about 400.0585331009.

The spelling of 64028100 in words is "sixty-four million, twenty-eight thousand, one hundred".