61988328 has 72 divisors (see below), whose sum is σ = 174480930. Its totient is φ = 20645280.

The previous prime is 61988299. The next prime is 61988359. The reversal of 61988328 is 82388916.

61988328 is a `hidden beast` number, since 619 + 8 + 8 + 3 + 28 = 666.

61988328 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 39917124 + 22071204 = 6318^2 + 4698^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 51898 + ... + 53078.

Almost surely, 2^61988328 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 61988328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87240465).

61988328 is an abundant number, since it is smaller than the sum of its proper divisors (112492602).

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

61988328 is an equidigital number, since it uses as much as digits as its factorization.

61988328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1186 counting only the distinct ones).

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

The square root of 61988328 is about 7873.2666663844. The cubic root of 61988328 is about 395.7643225755.

The spelling of 61988328 in words is "sixty-one million, nine hundred eighty-eight thousand, three hundred twenty-eight".