61409728 has 28 divisors (see below), whose sum is σ = 122991880. Its totient is φ = 30419712.

The previous prime is 61409659. The next prime is 61409753. The reversal of 61409728 is 82790416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2575 + ... + 11377.

Almost surely, 2^61409728 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 61409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61495940).

61409728 is an abundant number, since it is smaller than the sum of its proper divisors (61582152).

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

61409728 is a wasteful number, since it uses less digits than its factorization.

61409728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8924 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 61409728 is about 7836.4359245769. The cubic root of 61409728 is about 394.5291146735.

It can be divided in two parts, 614097 and 28, that added together give a cube (614125 = 85³).

The spelling of 61409728 in words is "sixty-one million, four hundred nine thousand, seven hundred twenty-eight".