96728850 has 96 divisors (see below), whose sum is σ = 269000640. Its totient is φ = 25557120.

The previous prime is 96728837. The next prime is 96728851. The reversal of 96728850 is 5882769.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 96728796 and 96728805.

It is not an unprimeable number, because it can be changed into a prime (96728851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184689 + ... + 185211.

It is an arithmetic number, because the mean of its divisors is an integer number (2802090).

Almost surely, 2^96728850 is an apocalyptic number.

96728850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96728850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134500320).

96728850 is an abundant number, since it is smaller than the sum of its proper divisors (172271790).

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

96728850 is a wasteful number, since it uses less digits than its factorization.

96728850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 96728850 is about 9835.0826127695. The cubic root of 96728850 is about 459.0415614466.

The spelling of 96728850 in words is "ninety-six million, seven hundred twenty-eight thousand, eight hundred fifty".