61628 has 24 divisors (see below), whose sum is σ = 129024. Its totient is φ = 25200.

The previous prime is 61627. The next prime is 61631. The reversal of 61628 is 82616.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61627) 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, 833 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2⁶¹⁶²⁸ 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 61628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512).

61628 is an abundant number, since it is smaller than the sum of its proper divisors (67396).

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

61628 is a wasteful number, since it uses less digits than its factorization.

61628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 61628 is about 248.2498741188. The cubic root of 61628 is about 39.4995994191.

The spelling of 61628 in words is "sixty-one thousand, six hundred twenty-eight".