11628034938 has 96 divisors (see below), whose sum is σ = 28175696640. Its totient is φ = 3441191040.

The previous prime is 11628034933. The next prime is 11628034939. The reversal of 11628034938 is 83943082611.

11628034938 is a `hidden beast` number, since 11 + 628 + 0 + 3 + 4 + 9 + 3 + 8 = 666.

It is a super-2 number, since 2×11628034938² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11628034893 and 11628034902.

It is not an unprimeable number, because it can be changed into a prime (11628034933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1835845 + ... + 1842167.

It is an arithmetic number, because the mean of its divisors is an integer number (293496840).

Almost surely, 2^11628034938 is an apocalyptic number.

11628034938 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 11628034938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087848320).

11628034938 is an abundant number, since it is smaller than the sum of its proper divisors (16547661702).

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

11628034938 is a wasteful number, since it uses less digits than its factorization.

11628034938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11628034938 in words is "eleven billion, six hundred twenty-eight million, thirty-four thousand, nine hundred thirty-eight".