10328400 has 180 divisors, whose sum is σ = 37978720. Its totient is φ = 2592000.

The previous prime is 10328387. The next prime is 10328407. The reversal of 10328400 is 482301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68325 + ... + 68475.

Almost surely, 2^10328400 is an apocalyptic number.

10328400 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 10328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989360).

10328400 is an abundant number, since it is smaller than the sum of its proper divisors (27650320).

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

10328400 is a wasteful number, since it uses less digits than its factorization.

10328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10328400 is about 3213.7828178021. The cubic root of 10328400 is about 217.7765012960.

The spelling of 10328400 in words is "ten million, three hundred twenty-eight thousand, four hundred".