10480062528 has 140 divisors (see below), whose sum is σ = 33456110380. Its totient is φ = 3224613888.

The previous prime is 10480062511. The next prime is 10480062533. The reversal of 10480062528 is 82526008401.

10480062528 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 0 + 0 + 625 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4023618624 + 6456443904 = 63432^2 + 80352^2 .

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 = 10480062492 and 10480062501.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10363 + ... + 145146.

It is an arithmetic number, because the mean of its divisors is an integer number (238972217).

Almost surely, 2^10480062528 is an apocalyptic number.

10480062528 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 10480062528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728055190).

10480062528 is an abundant number, since it is smaller than the sum of its proper divisors (22976047852).

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

10480062528 is a wasteful number, since it uses less digits than its factorization.

10480062528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155546 (or 155527 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10480062528 in words is "ten billion, four hundred eighty million, sixty-two thousand, five hundred twenty-eight".