61828152 has 64 divisors (see below), whose sum is σ = 159519360. Its totient is φ = 19958400.

The previous prime is 61828141. The next prime is 61828159. The reversal of 61828152 is 25182816.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61828159) 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, 186627 + ... + 186957.

It is an arithmetic number, because the mean of its divisors is an integer number (2492490).

Almost surely, 2^61828152 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 61828152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79759680).

61828152 is an abundant number, since it is smaller than the sum of its proper divisors (97691208).

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

61828152 is a wasteful number, since it uses less digits than its factorization.

61828152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 61828152 is about 7863.0879430412. The cubic root of 61828152 is about 395.4231474561.

The spelling of 61828152 in words is "sixty-one million, eight hundred twenty-eight thousand, one hundred fifty-two".