10002028764 has 144 divisors (see below), whose sum is σ = 29469769728. Its totient is φ = 2616872832.

The previous prime is 10002028763. The next prime is 10002028769. The reversal of 10002028764 is 46782020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002028763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965637 + ... + 975939.

Almost surely, 2^10002028764 is an apocalyptic number.

10002028764 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 10002028764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14734884864).

10002028764 is an abundant number, since it is smaller than the sum of its proper divisors (19467740964).

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

10002028764 is a wasteful number, since it uses less digits than its factorization.

10002028764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10455 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 10002028764 its reverse (46782020001), we get a palindrome (56784048765).

The spelling of 10002028764 in words is "ten billion, two million, twenty-eight thousand, seven hundred sixty-four".