10230400728 has 96 divisors (see below), whose sum is σ = 28395166800. Its totient is φ = 3325722624.

The previous prime is 10230400699. The next prime is 10230400769. The reversal of 10230400728 is 82700403201.

10230400728 is a `hidden beast` number, since 1 + 0 + 230 + 400 + 7 + 28 = 666.

It is a super-2 number, since 2×10230400728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378676 + ... + 2382972.

Almost surely, 2^10230400728 is an apocalyptic number.

10230400728 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 10230400728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197583400).

10230400728 is an abundant number, since it is smaller than the sum of its proper divisors (18164766072).

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

10230400728 is a wasteful number, since it uses less digits than its factorization.

10230400728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10230400728 its reverse (82700403201), we get a palindrome (92930803929).

The spelling of 10230400728 in words is "ten billion, two hundred thirty million, four hundred thousand, seven hundred twenty-eight".