10024213728 has 96 divisors (see below), whose sum is σ = 26632924416. Its totient is φ = 3301050368.

The previous prime is 10024213709. The next prime is 10024213729. The reversal of 10024213728 is 82731242001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10024213695 and 10024213704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024213729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762925 + ... + 3765587.

It is an arithmetic number, because the mean of its divisors is an integer number (277426296).

Almost surely, 2^10024213728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316462208).

10024213728 is an abundant number, since it is smaller than the sum of its proper divisors (16608710688).

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

10024213728 is a wasteful number, since it uses less digits than its factorization.

10024213728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 10024213728 its reverse (82731242001), we get a palindrome (92755455729).

The spelling of 10024213728 in words is "ten billion, twenty-four million, two hundred thirteen thousand, seven hundred twenty-eight".