13002828384 has 96 divisors (see below), whose sum is σ = 42009166080. Its totient is φ = 3429315072.

The previous prime is 13002828383. The next prime is 13002828407. The reversal of 13002828384 is 48382820031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13002828384³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002828383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735474 + ... + 752945.

It is an arithmetic number, because the mean of its divisors is an integer number (437595480).

Almost surely, 2^13002828384 is an apocalyptic number.

13002828384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13002828384 is an abundant number, since it is smaller than the sum of its proper divisors (29006337696).

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

13002828384 is a wasteful number, since it uses less digits than its factorization.

13002828384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488452 (or 1488444 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 13002828384 in words is "thirteen billion, two million, eight hundred twenty-eight thousand, three hundred eighty-four".