62928 has 60 divisors (see below), whose sum is σ = 193440. Its totient is φ = 19008.

The previous prime is 62927. The next prime is 62929. The reversal of 62928 is 82926.

It is an interprime number because it is at equal distance from previous prime (62927) and next prime (62929).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2725 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2⁶²⁹²⁸ 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 62928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96720).

62928 is an abundant number, since it is smaller than the sum of its proper divisors (130512).

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

62928 is a wasteful number, since it uses less digits than its factorization.

62928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 47 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 62928 is about 250.8545395244. The cubic root of 62928 is about 39.7754079875.

It can be divided in two parts, 62 and 928, that added together give a triangular number (990 = T₄₄).

The spelling of 62928 in words is "sixty-two thousand, nine hundred twenty-eight".