65573928 has 128 divisors (see below), whose sum is σ = 215040000. Its totient is φ = 18118080.

The previous prime is 65573927. The next prime is 65573941. The reversal of 65573928 is 82937556.

It is a happy number.

65573928 is a `hidden beast` number, since 6 + 557 + 3 + 92 + 8 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 65573928 = 103³ + 401³ = 164³ + 394³.

It is not an unprimeable number, because it can be changed into a prime (65573923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46173 + ... + 47571.

It is an arithmetic number, because the mean of its divisors is an integer number (1680000).

Almost surely, 2^65573928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65573928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520000).

65573928 is an abundant number, since it is smaller than the sum of its proper divisors (149466072).

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

65573928 is a wasteful number, since it uses less digits than its factorization.

65573928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1442 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 65573928 is about 8097.7730271970. The cubic root of 65573928 is about 403.2524981246.

The spelling of 65573928 in words is "sixty-five million, five hundred seventy-three thousand, nine hundred twenty-eight".