10288894644 has 288 divisors, whose sum is σ = 31972120320. Its totient is φ = 2801952000.

The previous prime is 10288894633. The next prime is 10288894673. The reversal of 10288894644 is 44649888201.

It is a happy number.

It is a super-2 number, since 2×10288894644² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101870194 + ... + 101870294.

Almost surely, 2^10288894644 is an apocalyptic number.

10288894644 is a gapful number since it is divisible by the number (14) 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 10288894644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986060160).

10288894644 is an abundant number, since it is smaller than the sum of its proper divisors (21683225676).

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

10288894644 is a wasteful number, since it uses less digits than its factorization.

10288894644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 10288894644 in words is "ten billion, two hundred eighty-eight million, eight hundred ninety-four thousand, six hundred forty-four".