1032853248 has 144 divisors (see below), whose sum is σ = 3490824960. Its totient is φ = 295087104.

The previous prime is 1032853201. The next prime is 1032853253. The reversal of 1032853248 is 8423582301.

1032853248 is a `hidden beast` number, since 1 + 0 + 328 + 5 + 324 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37711 + ... + 59057.

It is an arithmetic number, because the mean of its divisors is an integer number (24241840).

Almost surely, 2^1032853248 is an apocalyptic number.

1032853248 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 1032853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745412480).

1032853248 is an abundant number, since it is smaller than the sum of its proper divisors (2457971712).

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

1032853248 is an equidigital number, since it uses as much as digits as its factorization.

1032853248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21379 (or 21359 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1032853248 is about 32138.0342896077. The cubic root of 1032853248 is about 1010.8332985101.

The spelling of 1032853248 in words is "one billion, thirty-two million, eight hundred fifty-three thousand, two hundred forty-eight".