1005733248 has 256 divisors, whose sum is σ = 3045181440. Its totient is φ = 291962880.

The previous prime is 1005733241. The next prime is 1005733273. The reversal of 1005733248 is 8423375001.

It is a super-2 number, since 2×1005733248² = 2022998732265259008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005733241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10368336 + ... + 10368432.

It is an arithmetic number, because the mean of its divisors is an integer number (11895240).

Almost surely, 2^1005733248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522590720).

1005733248 is an abundant number, since it is smaller than the sum of its proper divisors (2039448192).

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

1005733248 is a wasteful number, since it uses less digits than its factorization.

1005733248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1005733248 is about 31713.2976525621. The cubic root of 1005733248 is about 1001.9074420183.

The spelling of 1005733248 in words is "one billion, five million, seven hundred thirty-three thousand, two hundred forty-eight".