109828840 has 64 divisors (see below), whose sum is σ = 285456960. Its totient is φ = 37585920.

The previous prime is 109828819. The next prime is 109828843. The reversal of 109828840 is 48828901.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 109828793 and 109828802.

It is not an unprimeable number, because it can be changed into a prime (109828843) 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, 139 + ... + 14821.

It is an arithmetic number, because the mean of its divisors is an integer number (4460265).

Almost surely, 2^109828840 is an apocalyptic number.

109828840 is a gapful number since it is divisible by the number (10) 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 109828840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142728480).

109828840 is an abundant number, since it is smaller than the sum of its proper divisors (175628120).

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

109828840 is a wasteful number, since it uses less digits than its factorization.

109828840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14722 (or 14718 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 109828840 is about 10479.9255722548. The cubic root of 109828840 is about 478.8933417217.

The spelling of 109828840 in words is "one hundred nine million, eight hundred twenty-eight thousand, eight hundred forty".