1000032048 has 160 divisors (see below), whose sum is σ = 2949424320. Its totient is φ = 324311040.

The previous prime is 1000032043. The next prime is 1000032049. The reversal of 1000032048 is 8402300001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1000032048.

It is not an unprimeable number, because it can be changed into a prime (1000032043) 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, 3610086 + ... + 3610362.

It is an arithmetic number, because the mean of its divisors is an integer number (18433902).

Almost surely, 2^1000032048 is an apocalyptic number.

1000032048 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 1000032048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474712160).

1000032048 is an abundant number, since it is smaller than the sum of its proper divisors (1949392272).

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

1000032048 is a wasteful number, since it uses less digits than its factorization.

1000032048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1000032048 is about 31623.2833209963. The cubic root of 1000032048 is about 1000.0106825525.

Adding to 1000032048 its reverse (8402300001), we get a palindrome (9402332049).

The spelling of 1000032048 in words is "one billion, thirty-two thousand, forty-eight".