65628000 has 144 divisors (see below), whose sum is σ = 233041536. Its totient is φ = 17491200.

The previous prime is 65627999. The next prime is 65628037. The reversal of 65628000 is 82656.

65628000 is a `hidden beast` number, since 656 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35089 + ... + 36911.

It is an arithmetic number, because the mean of its divisors is an integer number (1618344).

Almost surely, 2^65628000 is an apocalyptic number.

65628000 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 65628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116520768).

65628000 is an abundant number, since it is smaller than the sum of its proper divisors (167413536).

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

65628000 is a wasteful number, since it uses less digits than its factorization.

65628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65628000 is about 8101.1110349137. Note that the first 3 decimals coincide. The cubic root of 65628000 is about 403.3633078073.

The spelling of 65628000 in words is "sixty-five million, six hundred twenty-eight thousand".