13028020992 has 576 divisors, whose sum is σ = 47753072640. Its totient is φ = 3418619904.

The previous prime is 13028020979. The next prime is 13028020997. The reversal of 13028020992 is 29902082031.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028020997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38658648 + ... + 38658984.

It is an arithmetic number, because the mean of its divisors is an integer number (82904640).

Almost surely, 2^13028020992 is an apocalyptic number.

13028020992 is a gapful number since it is divisible by the number (12) 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 13028020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23876536320).

13028020992 is an abundant number, since it is smaller than the sum of its proper divisors (34725051648).

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

13028020992 is a wasteful number, since it uses less digits than its factorization.

13028020992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13028020992 in words is "thirteen billion, twenty-eight million, twenty thousand, nine hundred ninety-two".