1093228416 has 288 divisors, whose sum is σ = 3714099480. Its totient is φ = 307722240.

The previous prime is 1093228379. The next prime is 1093228417. The reversal of 1093228416 is 6148223901.

1093228416 is a `hidden beast` number, since 10 + 9 + 3 + 228 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093228417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6039846 + ... + 6040026.

Almost surely, 2^1093228416 is an apocalyptic number.

1093228416 is a gapful number since it is divisible by the number (16) 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 1093228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857049740).

1093228416 is an abundant number, since it is smaller than the sum of its proper divisors (2620871064).

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

1093228416 is a wasteful number, since it uses less digits than its factorization.

1093228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

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

The square root of 1093228416 is about 33064.0048390996. The cubic root of 1093228416 is about 1030.1575201323.

The spelling of 1093228416 in words is "one billion, ninety-three million, two hundred twenty-eight thousand, four hundred sixteen".