62728640 has 112 divisors (see below), whose sum is σ = 170517312. Its totient is φ = 21774336.

The previous prime is 62728637. The next prime is 62728649. The reversal of 62728640 is 4682726.

62728640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 62728640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62728649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70277 + ... + 71163.

It is an arithmetic number, because the mean of its divisors is an integer number (1522476).

Almost surely, 2^62728640 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 62728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85258656).

62728640 is an abundant number, since it is smaller than the sum of its proper divisors (107788672).

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

62728640 is a wasteful number, since it uses less digits than its factorization.

62728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 62728640 is about 7920.1414128789. The cubic root of 62728640 is about 397.3335985865. Note that the first 3 decimals are identical.

The spelling of 62728640 in words is "sixty-two million, seven hundred twenty-eight thousand, six hundred forty".