109628400 has 240 divisors, whose sum is σ = 415275008. Its totient is φ = 24192000.

The previous prime is 109628377. The next prime is 109628401. The reversal of 109628400 is 4826901.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109628401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260190 + ... + 260610.

Almost surely, 2^109628400 is an apocalyptic number.

109628400 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 109628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207637504).

109628400 is an abundant number, since it is smaller than the sum of its proper divisors (305646608).

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

109628400 is a wasteful number, since it uses less digits than its factorization.

109628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 109628400 is about 10470.3581600631. The cubic root of 109628400 is about 478.6018340906.

The spelling of 109628400 in words is "one hundred nine million, six hundred twenty-eight thousand, four hundred".