65928000 has 224 divisors, whose sum is σ = 226332288. Its totient is φ = 16896000.

The previous prime is 65927999. The next prime is 65928001. The reversal of 65928000 is 82956.

It is an interprime number because it is at equal distance from previous prime (65927999) and next prime (65928001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65928001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983967 + ... + 984033.

It is an arithmetic number, because the mean of its divisors is an integer number (1010412).

Almost surely, 2^65928000 is an apocalyptic number.

65928000 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 65928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166144).

65928000 is an abundant number, since it is smaller than the sum of its proper divisors (160404288).

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

65928000 is a wasteful number, since it uses less digits than its factorization.

65928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 65928000 is about 8119.6059017664. The cubic root of 65928000 is about 403.9769944094.

The spelling of 65928000 in words is "sixty-five million, nine hundred twenty-eight thousand".