10029762428 has 24 divisors (see below), whose sum is σ = 20093385312. Its totient is φ = 4291213824.

The previous prime is 10029762401. The next prime is 10029762481. The reversal of 10029762428 is 82426792001.

10029762428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10029762428² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285425 + ... + 318632.

It is an arithmetic number, because the mean of its divisors is an integer number (837224388).

Almost surely, 2^10029762428 is an apocalyptic number.

It is an amenable number.

10029762428 is an abundant number, since it is smaller than the sum of its proper divisors (10063622884).

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

10029762428 is a wasteful number, since it uses less digits than its factorization.

10029762428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604661 (or 604659 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 10029762428 in words is "ten billion, twenty-nine million, seven hundred sixty-two thousand, four hundred twenty-eight".