10288454400 has 1296 divisors, whose sum is σ = 47446963200. Its totient is φ = 2070282240.

The previous prime is 10288454399. The next prime is 10288454413. The reversal of 10288454400 is 445488201.

10288454400 is a `hidden beast` number, since 10 + 28 + 84 + 544 + 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 143 ways as a sum of consecutive naturals, for example, 130233561 + ... + 130233639.

Almost surely, 2^10288454400 is an apocalyptic number.

10288454400 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 10288454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23723481600).

10288454400 is an abundant number, since it is smaller than the sum of its proper divisors (37158508800).

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

10288454400 is a wasteful number, since it uses less digits than its factorization.

10288454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 10288454400 in words is "ten billion, two hundred eighty-eight million, four hundred fifty-four thousand, four hundred".