10287383400 has 576 divisors, whose sum is σ = 43663276800. Its totient is φ = 2212116480.

The previous prime is 10287383377. The next prime is 10287383401. The reversal of 10287383400 is 438378201.

10287383400 is a `hidden beast` number, since 1 + 0 + 287 + 38 + 340 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10287383401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4497057 + ... + 4499343.

It is an arithmetic number, because the mean of its divisors is an integer number (75804300).

Almost surely, 2^10287383400 is an apocalyptic number.

10287383400 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 10287383400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831638400).

10287383400 is an abundant number, since it is smaller than the sum of its proper divisors (33375893400).

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

10287383400 is a wasteful number, since it uses less digits than its factorization.

10287383400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10287383400 in words is "ten billion, two hundred eighty-seven million, three hundred eighty-three thousand, four hundred".