1808893152 has 288 divisors, whose sum is σ = 5879817216. Its totient is φ = 522547200.

The previous prime is 1808893123. The next prime is 1808893159. The reversal of 1808893152 is 2513988081.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1808893098 and 1808893107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1808893159) 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, 11097423 + ... + 11097585.

It is an arithmetic number, because the mean of its divisors is an integer number (20416032).

Almost surely, 2^1808893152 is an apocalyptic number.

1808893152 is a gapful number since it is divisible by the number (12) 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 1808893152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939908608).

1808893152 is an abundant number, since it is smaller than the sum of its proper divisors (4070924064).

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

1808893152 is a wasteful number, since it uses less digits than its factorization.

1808893152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1808893152 is about 42531.0845382527. The cubic root of 1808893152 is about 1218.4404402589.

It can be divided in two parts, 180889 and 3152, that added together give a square (184041 = 429²).

The spelling of 1808893152 in words is "one billion, eight hundred eight million, eight hundred ninety-three thousand, one hundred fifty-two".