19852128 has 168 divisors, whose sum is σ = 62799408. Its totient is φ = 6158592.

The previous prime is 19852127. The next prime is 19852139. The reversal of 19852128 is 82125891.

It is a super-2 number, since 2×19852128² = 788213972256768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

19852128 is a Rhonda number in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 19852092 and 19852101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19852127) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 536526 + ... + 536562.

It is an arithmetic number, because the mean of its divisors is an integer number (373806).

Almost surely, 2^19852128 is an apocalyptic number.

19852128 is a gapful number since it is divisible by the number (18) 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 19852128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31399704).

19852128 is an abundant number, since it is smaller than the sum of its proper divisors (42947280).

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

19852128 is an equidigital number, since it uses as much as digits as its factorization.

19852128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 19852128 is about 4455.5726904630. The cubic root of 19852128 is about 270.7711288673.

It can be divided in two parts, 198 and 52128, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 19852128 in words is "nineteen million, eight hundred fifty-two thousand, one hundred twenty-eight".