10032048 has 120 divisors (see below), whose sum is σ = 31685472. Its totient is φ = 2939904.

The previous prime is 10032041. The next prime is 10032053. The reversal of 10032048 is 84023001.

It is a happy number.

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 10032048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42940 + ... + 43172.

Almost surely, 2^10032048 is an apocalyptic number.

10032048 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 10032048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736).

10032048 is an abundant number, since it is smaller than the sum of its proper divisors (21653424).

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

10032048 is a wasteful number, since it uses less digits than its factorization.

10032048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

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

The square root of 10032048 is about 3167.3408405159. The cubic root of 10032048 is about 215.6733746538.

Adding to 10032048 its reverse (84023001), we get a palindrome (94055049).

The spelling of 10032048 in words is "ten million, thirty-two thousand, forty-eight".