61048728 has 80 divisors (see below), whose sum is σ = 184171680. Its totient is φ = 18781632.

The previous prime is 61048721. The next prime is 61048733. The reversal of 61048728 is 82784016.

61048728 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 = 61048692 and 61048701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61048721) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4801 + ... + 12047.

It is an arithmetic number, because the mean of its divisors is an integer number (2302146).

Almost surely, 2^61048728 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 61048728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92085840).

61048728 is an abundant number, since it is smaller than the sum of its proper divisors (123122952).

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

61048728 is a wasteful number, since it uses less digits than its factorization.

61048728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 61048728 is about 7813.3685437204. The cubic root of 61048728 is about 393.7545087919.

It can be divided in two parts, 61048 and 728, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61048728 in words is "sixty-one million, forty-eight thousand, seven hundred twenty-eight".