985049728 has 128 divisors (see below), whose sum is σ = 2216970000. Its totient is φ = 432832512.

The previous prime is 985049713. The next prime is 985049731. The reversal of 985049728 is 827940589.

It can be written as a sum of positive squares in 8 ways, for example, as 169833024 + 815216704 = 13032^2 + 28552^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6610998 + ... + 6611146.

Almost surely, 2^985049728 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 985049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108485000).

985049728 is an abundant number, since it is smaller than the sum of its proper divisors (1231920272).

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

985049728 is a wasteful number, since it uses less digits than its factorization.

985049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The square root of 985049728 is about 31385.5018758662. The cubic root of 985049728 is about 994.9915331384.

The spelling of 985049728 in words is "nine hundred eighty-five million, forty-nine thousand, seven hundred twenty-eight".