220129728 has 224 divisors, whose sum is σ = 736006656. Its totient is φ = 56512512.

The previous prime is 220129703. The next prime is 220129733. The reversal of 220129728 is 827921022.

220129728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751150 + ... + 751442.

It is an arithmetic number, because the mean of its divisors is an integer number (3285744).

Almost surely, 2^220129728 is an apocalyptic number.

220129728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368003328).

220129728 is an abundant number, since it is smaller than the sum of its proper divisors (515876928).

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

220129728 is a wasteful number, since it uses less digits than its factorization.

220129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 220129728 is about 14836.7694596903. The cubic root of 220129728 is about 603.7997084526.

The spelling of 220129728 in words is "two hundred twenty million, one hundred twenty-nine thousand, seven hundred twenty-eight".