9802728 has 64 divisors (see below), whose sum is σ = 29332800. Its totient is φ = 3015360.

The previous prime is 9802717. The next prime is 9802729. The reversal of 9802728 is 8272089.

9802728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 9802692 and 9802701.

It is not an unprimeable number, because it can be changed into a prime (9802729) 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, 1063 + ... + 4553.

It is an arithmetic number, because the mean of its divisors is an integer number (458325).

Almost surely, 2^9802728 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 9802728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666400).

9802728 is an abundant number, since it is smaller than the sum of its proper divisors (19530072).

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

9802728 is a wasteful number, since it uses less digits than its factorization.

9802728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9802728 is about 3130.9308519991. The cubic root of 9802728 is about 214.0173509092.

The spelling of 9802728 in words is "nine million, eight hundred two thousand, seven hundred twenty-eight".