61802928 has 90 divisors (see below), whose sum is σ = 190169252. Its totient is φ = 18722880.

The previous prime is 61802903. The next prime is 61802947. The reversal of 61802928 is 82920816.

61802928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61802892 and 61802901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15651 + ... + 19197.

Almost surely, 2^61802928 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 61802928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95084626).

61802928 is an abundant number, since it is smaller than the sum of its proper divisors (128366324).

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

61802928 is a wasteful number, since it uses less digits than its factorization.

61802928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 61802928 is about 7861.4838294052. The cubic root of 61802928 is about 395.3693666144.

The spelling of 61802928 in words is "sixty-one million, eight hundred two thousand, nine hundred twenty-eight".