1032788250 has 384 divisors, whose sum is σ = 3336173568. Its totient is φ = 228096000.

The previous prime is 1032788249. The next prime is 1032788261. The reversal of 1032788250 is 528872301.

1032788250 is a `hidden beast` number, since 1 + 0 + 327 + 88 + 250 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15414717 + ... + 15414783.

It is an arithmetic number, because the mean of its divisors is an integer number (8687952).

Almost surely, 2^1032788250 is an apocalyptic number.

1032788250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032788250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668086784).

1032788250 is an abundant number, since it is smaller than the sum of its proper divisors (2303385318).

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

1032788250 is a wasteful number, since it uses less digits than its factorization.

1032788250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1032788250 is about 32137.0230419683. The cubic root of 1032788250 is about 1010.8120939743.

The spelling of 1032788250 in words is "one billion, thirty-two million, seven hundred eighty-eight thousand, two hundred fifty".