13028623578 has 128 divisors (see below), whose sum is σ = 30861388800. Its totient is φ = 4067050176.

The previous prime is 13028623567. The next prime is 13028623609. The reversal of 13028623578 is 87532682031.

13028623578 is a `hidden beast` number, since 1 + 30 + 28 + 6 + 23 + 578 = 666.

It is a Curzon number.

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, 10975501 + ... + 10976687.

It is an arithmetic number, because the mean of its divisors is an integer number (241104600).

Almost surely, 2^13028623578 is an apocalyptic number.

13028623578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13028623578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430694400).

13028623578 is an abundant number, since it is smaller than the sum of its proper divisors (17832765222).

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

13028623578 is a wasteful number, since it uses less digits than its factorization.

13028623578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13028623578 in words is "thirteen billion, twenty-eight million, six hundred twenty-three thousand, five hundred seventy-eight".