62628 has 24 divisors (see below), whose sum is σ = 155232. Its totient is φ = 19584.

The previous prime is 62627. The next prime is 62633. The reversal of 62628 is 82626.

62628 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 6⁵ + 2² + 6⁶ + 2¹² + 8⁴ .

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 62598 and 62607.

It is not an unprimeable number, because it can be changed into a prime (62627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (6468).

2⁶²⁶²⁸ is an apocalyptic number.

62628 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616).

62628 is an abundant number, since it is smaller than the sum of its proper divisors (92604).

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

62628 is a wasteful number, since it uses less digits than its factorization.

62628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 62628 is about 250.2558690620. The cubic root of 62628 is about 39.7120994703.

The spelling of 62628 in words is "sixty-two thousand, six hundred twenty-eight".