2850121728 has 336 divisors, whose sum is σ = 9023283360. Its totient is φ = 897785856.

The previous prime is 2850121697. The next prime is 2850121759. The reversal of 2850121728 is 8271210582.

It is an interprime number because it is at equal distance from previous prime (2850121697) and next prime (2850121759).

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 = 2850121692 and 2850121701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 34338775 + ... + 34338857.

It is an arithmetic number, because the mean of its divisors is an integer number (26855010).

Almost surely, 2^2850121728 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 2850121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511641680).

2850121728 is an abundant number, since it is smaller than the sum of its proper divisors (6173161632).

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

2850121728 is an frugal number, since it uses more digits than its factorization.

2850121728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2850121728 is about 53386.5313351598. The cubic root of 2850121728 is about 1417.8201242217.

The spelling of 2850121728 in words is "two billion, eight hundred fifty million, one hundred twenty-one thousand, seven hundred twenty-eight".