10280251728 has 100 divisors (see below), whose sum is σ = 29988794880. Its totient is φ = 3399713856.

The previous prime is 10280251697. The next prime is 10280251763. The reversal of 10280251728 is 82715208201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10280251692 and 10280251701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133363 + ... + 195821.

Almost surely, 2^10280251728 is an apocalyptic number.

10280251728 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 10280251728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994397440).

10280251728 is an abundant number, since it is smaller than the sum of its proper divisors (19708543152).

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

10280251728 is a wasteful number, since it uses less digits than its factorization.

10280251728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62606 (or 62591 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 10280251728 its reverse (82715208201), we get a palindrome (92995459929).

The spelling of 10280251728 in words is "ten billion, two hundred eighty million, two hundred fifty-one thousand, seven hundred twenty-eight".