219136428 has 216 divisors, whose sum is σ = 690161472. Its totient is φ = 60582816.

The previous prime is 219136417. The next prime is 219136429. The reversal of 219136428 is 824631912.

219136428 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 3 + 642 + 8 = 666.

219136428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (20736) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 219136392 and 219136401.

It is not an unprimeable number, because it can be changed into a prime (219136429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2047951 + ... + 2048057.

It is an arithmetic number, because the mean of its divisors is an integer number (3195192).

Almost surely, 2^219136428 is an apocalyptic number.

219136428 is a gapful number since it is divisible by the number (28) 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 219136428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345080736).

219136428 is an abundant number, since it is smaller than the sum of its proper divisors (471025044).

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

219136428 is a wasteful number, since it uses less digits than its factorization.

219136428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 219136428 is about 14803.2573442469. The cubic root of 219136428 is about 602.8901559775.

The spelling of 219136428 in words is "two hundred nineteen million, one hundred thirty-six thousand, four hundred twenty-eight".