65077728 has 48 divisors (see below), whose sum is σ = 173645136. Its totient is φ = 21335040.

The previous prime is 65077699. The next prime is 65077739. The reversal of 65077728 is 82777056.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×65077728² = 8470221363283968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65077728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300 + ... + 11412.

It is an arithmetic number, because the mean of its divisors is an integer number (3617607).

Almost surely, 2^65077728 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 65077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86822568).

65077728 is an abundant number, since it is smaller than the sum of its proper divisors (108567408).

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

65077728 is a wasteful number, since it uses less digits than its factorization.

65077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11187 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 65077728 is about 8067.0767939818. The cubic root of 65077728 is about 402.2327802082.

The spelling of 65077728 in words is "sixty-five million, seventy-seven thousand, seven hundred twenty-eight".