10281427200 has 648 divisors, whose sum is σ = 41654479776. Its totient is φ = 2488320000.

The previous prime is 10281427157. The next prime is 10281427213. The reversal of 10281427200 is 272418201.

10281427200 is a `hidden beast` number, since 10 + 28 + 1 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17106900 + ... + 17107500.

Almost surely, 2^10281427200 is an apocalyptic number.

10281427200 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 10281427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827239888).

10281427200 is an abundant number, since it is smaller than the sum of its proper divisors (31373052576).

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

10281427200 is an equidigital number, since it uses as much as digits as its factorization.

10281427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10281427200 in words is "ten billion, two hundred eighty-one million, four hundred twenty-seven thousand, two hundred".