61789728 has 192 divisors, whose sum is σ = 218115072. Its totient is φ = 14791680.

The previous prime is 61789709. The next prime is 61789733. The reversal of 61789728 is 82798716.

61789728 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 (48).

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 31 ways as a sum of consecutive naturals, for example, 95775 + ... + 96417.

It is an arithmetic number, because the mean of its divisors is an integer number (1136016).

Almost surely, 2^61789728 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 61789728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109057536).

61789728 is an abundant number, since it is smaller than the sum of its proper divisors (156325344).

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

61789728 is a wasteful number, since it uses less digits than its factorization.

61789728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 61789728 is about 7860.6442484061. The cubic root of 61789728 is about 395.3412166685.

The spelling of 61789728 in words is "sixty-one million, seven hundred eighty-nine thousand, seven hundred twenty-eight".