10284382080 has 896 divisors, whose sum is σ = 43666836480. Its totient is φ = 2266361856.

The previous prime is 10284382063. The next prime is 10284382093. The reversal of 10284382080 is 8028348201.

It is a happy number.

10284382080 is a `hidden beast` number, since 10 + 2 + 8 + 438 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 153498207 + ... + 153498273.

Almost surely, 2^10284382080 is an apocalyptic number.

10284382080 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 10284382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833418240).

10284382080 is an abundant number, since it is smaller than the sum of its proper divisors (33382454400).

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

10284382080 is an frugal number, since it uses more digits than its factorization.

10284382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10284382080 in words is "ten billion, two hundred eighty-four million, three hundred eighty-two thousand, eighty".