10630038528 has 264 divisors, whose sum is σ = 34219617120. Its totient is φ = 3158507520.

The previous prime is 10630038473. The next prime is 10630038541. The reversal of 10630038528 is 82583003601.

10630038528 is a `hidden beast` number, since 10 + 630 + 0 + 3 + 8 + 5 + 2 + 8 = 666.

It is a super-2 number, since 2×10630038528² (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 = 10630038492 and 10630038501.

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, 2974983 + ... + 2978553.

Almost surely, 2^10630038528 is an apocalyptic number.

10630038528 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 10630038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17109808560).

10630038528 is an abundant number, since it is smaller than the sum of its proper divisors (23589578592).

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

10630038528 is a wasteful number, since it uses less digits than its factorization.

10630038528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10630038528 in words is "ten billion, six hundred thirty million, thirty-eight thousand, five hundred twenty-eight".