1073829888 has 288 divisors, whose sum is σ = 3449628000. Its totient is φ = 320077824.

The previous prime is 1073829877. The next prime is 1073829923. The reversal of 1073829888 is 8889283701.

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

It is a super-2 number, since 2×1073829888² = 2306221256724185088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7206838 + ... + 7206986.

It is an arithmetic number, because the mean of its divisors is an integer number (11977875).

Almost surely, 2^1073829888 is an apocalyptic number.

1073829888 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 1073829888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724814000).

1073829888 is an abundant number, since it is smaller than the sum of its proper divisors (2375798112).

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

1073829888 is a wasteful number, since it uses less digits than its factorization.

1073829888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 1073829888 is about 32769.3437224489. The cubic root of 1073829888 is about 1024.0279940264.

The spelling of 1073829888 in words is "one billion, seventy-three million, eight hundred twenty-nine thousand, eight hundred eighty-eight".