43228638090 has 384 divisors, whose sum is σ = 132116624640. Its totient is φ = 10077696000.

The previous prime is 43228638059. The next prime is 43228638163. The reversal of 43228638090 is 9083682234.

43228638090 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 8 + 638 + 0 + 9 + 0 = 666.

It is a super-2 number, since 2×43228638090² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107801890 + ... + 107802290.

It is an arithmetic number, because the mean of its divisors is an integer number (344053710).

Almost surely, 2^43228638090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43228638090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66058312320).

43228638090 is an abundant number, since it is smaller than the sum of its proper divisors (88887986550).

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

43228638090 is a wasteful number, since it uses less digits than its factorization.

43228638090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 43228638090 in words is "forty-three billion, two hundred twenty-eight million, six hundred thirty-eight thousand, ninety".