62728 has 8 divisors (see below), whose sum is σ = 117630. Its totient is φ = 31360.

The previous prime is 62723. The next prime is 62731. The reversal of 62728 is 82726.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 6084 = 238^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (62723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3913 + ... + 3928.

2⁶²⁷²⁸ is an apocalyptic number.

It is an amenable number.

62728 is a deficient number, since it is larger than the sum of its proper divisors (54902).

62728 is a wasteful number, since it uses less digits than its factorization.

62728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7843 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 62728 is about 250.4555848848. The cubic root of 62728 is about 39.7332247293.

It can be divided in two parts, 6272 and 8, that multiplied together give a square (50176 = 224²).

The spelling of 62728 in words is "sixty-two thousand, seven hundred twenty-eight".