10282800 has 240 divisors, whose sum is σ = 38747520. Its totient is φ = 2304000.

The previous prime is 10282763. The next prime is 10282813. The reversal of 10282800 is 828201.

10282800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250780 + ... + 250820.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^10282800 is an apocalyptic number.

10282800 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 10282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

10282800 is an abundant number, since it is smaller than the sum of its proper divisors (28464720).

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

10282800 is a wasteful number, since it uses less digits than its factorization.

10282800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10282800 is about 3206.6805266506. The cubic root of 10282800 is about 217.4555332534.

It can be divided in two parts, 1028 and 2800, that added together give a triangular number (3828 = T₈₇).

The spelling of 10282800 in words is "ten million, two hundred eighty-two thousand, eight hundred".