1916224128 has 384 divisors, whose sum is σ = 7048379520. Its totient is φ = 504631296.

The previous prime is 1916224127. The next prime is 1916224129. The reversal of 1916224128 is 8214226191.

1916224128 is a `hidden beast` number, since 1 + 9 + 1 + 622 + 4 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1916224127) and next prime (1916224129).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1916224092 and 1916224101.

It is not an unprimeable number, because it can be changed into a prime (1916224127) 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, 2830126 + ... + 2830802.

It is an arithmetic number, because the mean of its divisors is an integer number (18355155).

Almost surely, 2^1916224128 is an apocalyptic number.

1916224128 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 1916224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524189760).

1916224128 is an abundant number, since it is smaller than the sum of its proper divisors (5132155392).

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

1916224128 is an equidigital number, since it uses as much as digits as its factorization.

1916224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 702 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1916224128 is about 43774.6973490394. The cubic root of 1916224128 is about 1242.0777099035.

The spelling of 1916224128 in words is "one billion, nine hundred sixteen million, two hundred twenty-four thousand, one hundred twenty-eight".