60129828 has 72 divisors (see below), whose sum is σ = 166682880. Its totient is φ = 18125760.

The previous prime is 60129809. The next prime is 60129841. The reversal of 60129828 is 82892106.

60129828 is a `hidden beast` number, since 601 + 29 + 8 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60129792 and 60129801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125293 + ... + 125771.

It is an arithmetic number, because the mean of its divisors is an integer number (2315040).

Almost surely, 2^60129828 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 60129828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83341440).

60129828 is an abundant number, since it is smaller than the sum of its proper divisors (106553052).

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

60129828 is a wasteful number, since it uses less digits than its factorization.

60129828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 60129828 is about 7754.3425253209. The cubic root of 60129828 is about 391.7689270533.

The spelling of 60129828 in words is "sixty million, one hundred twenty-nine thousand, eight hundred twenty-eight".