10328747400 has 480 divisors, whose sum is σ = 37550810880. Its totient is φ = 2628288000.

The previous prime is 10328747399. The next prime is 10328747423. The reversal of 10328747400 is 474782301.

It is a happy number.

10328747400 is a `hidden beast` number, since 103 + 2 + 87 + 474 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65788122 + ... + 65788278.

It is an arithmetic number, because the mean of its divisors is an integer number (78230856).

Almost surely, 2^10328747400 is an apocalyptic number.

10328747400 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 10328747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775405440).

10328747400 is an abundant number, since it is smaller than the sum of its proper divisors (27222063480).

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

10328747400 is a wasteful number, since it uses less digits than its factorization.

10328747400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10328747400 in words is "ten billion, three hundred twenty-eight million, seven hundred forty-seven thousand, four hundred".