1026283752 has 144 divisors (see below), whose sum is σ = 3069726660. Its totient is φ = 307915776.

The previous prime is 1026283747. The next prime is 1026283757. The reversal of 1026283752 is 2573826201.

It is an interprime number because it is at equal distance from previous prime (1026283747) and next prime (1026283757).

It can be written as a sum of positive squares in 2 ways, for example, as 1007046756 + 19236996 = 31734^2 + 4386^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1026283757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1730368 + ... + 1730960.

Almost surely, 2^1026283752 is an apocalyptic number.

1026283752 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 1026283752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534863330).

1026283752 is an abundant number, since it is smaller than the sum of its proper divisors (2043442908).

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

1026283752 is a wasteful number, since it uses less digits than its factorization.

1026283752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1026283752 is about 32035.6637515129. The cubic root of 1026283752 is about 1008.6855927332.

The spelling of 1026283752 in words is "one billion, twenty-six million, two hundred eighty-three thousand, seven hundred fifty-two".