13835021628 has 48 divisors (see below), whose sum is σ = 32845680000. Its totient is φ = 4531188288.

The previous prime is 13835021587. The next prime is 13835021671. The reversal of 13835021628 is 82612053831.

13835021628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878898 + ... + 1886246.

It is an arithmetic number, because the mean of its divisors is an integer number (684285000).

Almost surely, 2^13835021628 is an apocalyptic number.

It is an amenable number.

13835021628 is an abundant number, since it is smaller than the sum of its proper divisors (19010658372).

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

13835021628 is a wasteful number, since it uses less digits than its factorization.

13835021628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 13835021628 in words is "thirteen billion, eight hundred thirty-five million, twenty-one thousand, six hundred twenty-eight".