61028 has 24 divisors (see below), whose sum is σ = 124320. Its totient is φ = 25920.

The previous prime is 61027. The next prime is 61031. The reversal of 61028 is 82016.

61028 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 60997 and 61015.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61028.

It is not an unprimeable number, because it can be changed into a prime (61027) 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, 800 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (5180).

2⁶¹⁰²⁸ is an apocalyptic number.

It is an amenable number.

61028 is an abundant number, since it is smaller than the sum of its proper divisors (63292).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62160).

61028 is a wasteful number, since it uses less digits than its factorization.

61028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 61028 is about 247.0384585444. The cubic root of 61028 is about 39.3709939655.

The spelling of 61028 in words is "sixty-one thousand, twenty-eight".