62828 has 12 divisors (see below), whose sum is σ = 111720. Its totient is φ = 30912.

The previous prime is 62827. The next prime is 62851. The reversal of 62828 is 82826.

Its product of digits (1536) is a multiple of the sum of its prime factors (256).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 62797 and 62806.

It is not an unprimeable number, because it can be changed into a prime (62827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 383 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2⁶²⁸²⁸ is an apocalyptic number.

It is an amenable number.

62828 is a deficient number, since it is larger than the sum of its proper divisors (48892).

62828 is a wasteful number, since it uses less digits than its factorization.

62828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 62828 is about 250.6551415790. The cubic root of 62828 is about 39.7543275486.

Multiplying 62828 by its sum of digits (26), we get a triangular number (1633528 = T₁₈₀₇).

It can be divided in two parts, 628 and 28, that added together give a palindrome (656).

The spelling of 62828 in words is "sixty-two thousand, eight hundred twenty-eight".