10287482400 has 432 divisors, whose sum is σ = 39411852480. Its totient is φ = 2509977600.

The previous prime is 10287482399. The next prime is 10287482419. The reversal of 10287482400 is 428478201.

10287482400 is a `hidden beast` number, since 102 + 8 + 74 + 82 + 400 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12261181 + ... + 12262019.

It is an arithmetic number, because the mean of its divisors is an integer number (91231140).

Almost surely, 2^10287482400 is an apocalyptic number.

10287482400 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 10287482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19705926240).

10287482400 is an abundant number, since it is smaller than the sum of its proper divisors (29124370080).

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

10287482400 is a wasteful number, since it uses less digits than its factorization.

10287482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 10287482400 in words is "ten billion, two hundred eighty-seven million, four hundred eighty-two thousand, four hundred".