65627928 has 64 divisors (see below), whose sum is σ = 188604000. Its totient is φ = 21119616.

The previous prime is 65627923. The next prime is 65627941. The reversal of 65627928 is 82972656.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65627923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026 + ... + 11502.

Almost surely, 2^65627928 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 65627928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94302000).

65627928 is an abundant number, since it is smaller than the sum of its proper divisors (122976072).

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

65627928 is a wasteful number, since it uses less digits than its factorization.

65627928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10521 (or 10511 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 65627928 is about 8101.1065910775. The cubic root of 65627928 is about 403.3631602983.

The spelling of 65627928 in words is "sixty-five million, six hundred twenty-seven thousand, nine hundred twenty-eight".