61928928 has 96 divisors (see below), whose sum is σ = 181994400. Its totient is φ = 20487168.

The previous prime is 61928927. The next prime is 61928929. The reversal of 61928928 is 82982916.

61928928 is a `hidden beast` number, since 619 + 2 + 8 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (61928927) and next prime (61928929).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61928921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197700 + ... + 198012.

It is an arithmetic number, because the mean of its divisors is an integer number (1895775).

Almost surely, 2^61928928 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 61928928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90997200).

61928928 is an abundant number, since it is smaller than the sum of its proper divisors (120065472).

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

61928928 is a wasteful number, since it uses less digits than its factorization.

61928928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 547 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 61928928 is about 7869.4935033965. The cubic root of 61928928 is about 395.6378691261.

The spelling of 61928928 in words is "sixty-one million, nine hundred twenty-eight thousand, nine hundred twenty-eight".