120098628 has 72 divisors (see below), whose sum is σ = 338247000. Its totient is φ = 35675136.

The previous prime is 120098623. The next prime is 120098653. The reversal of 120098628 is 826890021.

120098628 is a `hidden beast` number, since 1 + 20 + 0 + 9 + 8 + 628 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 117029124 = 1752^2 + 10818^2 .

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 = 120098592 and 120098601.

It is not an unprimeable number, because it can be changed into a prime (120098621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9148 + ... + 17996.

It is an arithmetic number, because the mean of its divisors is an integer number (4697875).

Almost surely, 2^120098628 is an apocalyptic number.

120098628 is a gapful number since it is divisible by the number (18) 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 120098628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169123500).

120098628 is an abundant number, since it is smaller than the sum of its proper divisors (218148372).

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

120098628 is a wasteful number, since it uses less digits than its factorization.

120098628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8901 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 120098628 is about 10958.9519571901. The cubic root of 120098628 is about 493.3775098416.

The spelling of 120098628 in words is "one hundred twenty million, ninety-eight thousand, six hundred twenty-eight".