10288228764 has 72 divisors (see below), whose sum is σ = 26683428240. Its totient is φ = 3082576640.

The previous prime is 10288228763. The next prime is 10288228771. The reversal of 10288228764 is 46782288201.

It is a super-2 number, since 2×10288228764² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288228763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89422 + ... + 169034.

It is an arithmetic number, because the mean of its divisors is an integer number (370603170).

Almost surely, 2^10288228764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10288228764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341714120).

10288228764 is an abundant number, since it is smaller than the sum of its proper divisors (16395199476).

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

10288228764 is a wasteful number, since it uses less digits than its factorization.

10288228764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79731 (or 79718 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 10288228764 in words is "ten billion, two hundred eighty-eight million, two hundred twenty-eight thousand, seven hundred sixty-four".