61388928 has 160 divisors (see below), whose sum is σ = 189573120. Its totient is φ = 19699200.

The previous prime is 61388903. The next prime is 61388941. The reversal of 61388928 is 82988316.

61388928 is a `hidden beast` number, since 613 + 8 + 8 + 9 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321313 + ... + 321503.

It is an arithmetic number, because the mean of its divisors is an integer number (1184832).

Almost surely, 2^61388928 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 61388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94786560).

61388928 is an abundant number, since it is smaller than the sum of its proper divisors (128184192).

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

61388928 is a wasteful number, since it uses less digits than its factorization.

61388928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 61388928 is about 7835.1086782507. The cubic root of 61388928 is about 394.4845661819.

The spelling of 61388928 in words is "sixty-one million, three hundred eighty-eight thousand, nine hundred twenty-eight".