10150633728 has 108 divisors (see below), whose sum is σ = 29294673408. Its totient is φ = 3380321280.

The previous prime is 10150633709. The next prime is 10150633733. The reversal of 10150633728 is 82733605101.

10150633728 is a `hidden beast` number, since 1 + 0 + 15 + 0 + 633 + 7 + 2 + 8 = 666.

It is a super-3 number, since 3×10150633728³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 10150633692 and 10150633701.

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 11 ways as a sum of consecutive naturals, for example, 4807393 + ... + 4809503.

It is an arithmetic number, because the mean of its divisors is an integer number (271246976).

Almost surely, 2^10150633728 is an apocalyptic number.

10150633728 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 10150633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647336704).

10150633728 is an abundant number, since it is smaller than the sum of its proper divisors (19144039680).

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

10150633728 is a wasteful number, since it uses less digits than its factorization.

10150633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10150633728 in words is "ten billion, one hundred fifty million, six hundred thirty-three thousand, seven hundred twenty-eight".