13428629760 has 576 divisors, whose sum is σ = 53536186368. Its totient is φ = 2793111552.

The previous prime is 13428629759. The next prime is 13428629777. The reversal of 13428629760 is 6792682431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29003289 + ... + 29003751.

It is an arithmetic number, because the mean of its divisors is an integer number (92944768).

Almost surely, 2^13428629760 is an apocalyptic number.

13428629760 is a gapful number since it is divisible by the number (10) 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 13428629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26768093184).

13428629760 is an abundant number, since it is smaller than the sum of its proper divisors (40107556608).

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

13428629760 is a wasteful number, since it uses less digits than its factorization.

13428629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 13428629760 in words is "thirteen billion, four hundred twenty-eight million, six hundred twenty-nine thousand, seven hundred sixty".