219490128 has 480 divisors, whose sum is σ = 831196800. Its totient is φ = 54743040.

The previous prime is 219490123. The next prime is 219490129. The reversal of 219490128 is 821094912.

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

It is a junction number, because it is equal to n+sod(n) for n = 219490092 and 219490101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219490123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11552103 + ... + 11552121.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^219490128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219490128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415598400).

219490128 is an abundant number, since it is smaller than the sum of its proper divisors (611706672).

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

219490128 is a wasteful number, since it uses less digits than its factorization.

219490128 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 219490128 is about 14815.1992224202. The cubic root of 219490128 is about 603.2143491815.

The spelling of 219490128 in words is "two hundred nineteen million, four hundred ninety thousand, one hundred twenty-eight".