10000601028 has 72 divisors (see below), whose sum is σ = 27613316640. Its totient is φ = 3026540160.

The previous prime is 10000601021. The next prime is 10000601053. The reversal of 10000601028 is 82010600001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10000601028.

It is not an unprimeable number, because it can be changed into a prime (10000601021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295608 + ... + 327696.

Almost surely, 2^10000601028 is an apocalyptic number.

10000601028 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 10000601028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806658320).

10000601028 is an abundant number, since it is smaller than the sum of its proper divisors (17612715612).

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

10000601028 is a wasteful number, since it uses less digits than its factorization.

10000601028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32897 (or 32892 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 10000601028 in words is "ten billion, six hundred one thousand, twenty-eight".