77283528 has 64 divisors (see below), whose sum is σ = 226796160. Its totient is φ = 21482496.

The previous prime is 77283517. The next prime is 77283529. The reversal of 77283528 is 82538277.

77283528 is a nontrivial binomial coefficient, being equal to C(12433, 2).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 77283528.

It is not an unprimeable number, because it can be changed into a prime (77283529) 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, 1 + ... + 12432.

It is an arithmetic number, because the mean of its divisors is an integer number (3543690).

Almost surely, 2^77283528 is an apocalyptic number.

77283528 is the 12432-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77283528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113398080).

77283528 is an abundant number, since it is smaller than the sum of its proper divisors (149512632).

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

77283528 is a wasteful number, since it uses less digits than its factorization.

77283528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12486 (or 12482 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 77283528 is about 8791.1050499923. The cubic root of 77283528 is about 425.9536196723.

The spelling of 77283528 in words is "seventy-seven million, two hundred eighty-three thousand, five hundred twenty-eight".