10488192 has 128 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 2918400.

The previous prime is 10488187. The next prime is 10488193. The reversal of 10488192 is 29188401.

10488192 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10488192² = 220004342857728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10488193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54817 + ... + 55007.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^10488192 is an apocalyptic number.

10488192 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 10488192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

10488192 is an abundant number, since it is smaller than the sum of its proper divisors (22412928).

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

10488192 is a wasteful number, since it uses less digits than its factorization.

10488192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 10488192 is about 3238.5478227131. The cubic root of 10488192 is about 218.8938415035.

The spelling of 10488192 in words is "ten million, four hundred eighty-eight thousand, one hundred ninety-two".