10553131728 has 30 divisors (see below), whose sum is σ = 29534112114. Its totient is φ = 3517710528.

The previous prime is 10553131717. The next prime is 10553131739. The reversal of 10553131728 is 82713135501.

It is a happy number.

10553131728 is a `hidden beast` number, since 1 + 0 + 553 + 1 + 31 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10553131717) and next prime (10553131739).

It can be written as a sum of positive squares in only one way, i.e., 5777216064 + 4775915664 = 76008^2 + 69108^2 .

It is a super-2 number, since 2×10553131728² (a number of 21 digits) contains 22 as substring.

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 = 10553131692 and 10553131701.

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 5 ways as a sum of consecutive naturals, for example, 36642675 + ... + 36642962.

Almost surely, 2^10553131728 is an apocalyptic number.

10553131728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10553131728 is an abundant number, since it is smaller than the sum of its proper divisors (18980980386).

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

10553131728 is a wasteful number, since it uses less digits than its factorization.

10553131728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73285651 (or 73285642 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10553131728 in words is "ten billion, five hundred fifty-three million, one hundred thirty-one thousand, seven hundred twenty-eight".