10077002328 has 64 divisors (see below), whose sum is σ = 26308857600. Its totient is φ = 3210387840.

The previous prime is 10077002269. The next prime is 10077002339. The reversal of 10077002328 is 82320077001.

It is a junction number, because it is equal to n+sod(n) for n = 10077002295 and 10077002304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755703 + ... + 768921.

It is an arithmetic number, because the mean of its divisors is an integer number (411075900).

Almost surely, 2^10077002328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10077002328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154428800).

10077002328 is an abundant number, since it is smaller than the sum of its proper divisors (16231855272).

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

10077002328 is a wasteful number, since it uses less digits than its factorization.

10077002328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14632 (or 14628 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 10077002328 its reverse (82320077001), we get a palindrome (92397079329).

The spelling of 10077002328 in words is "ten billion, seventy-seven million, two thousand, three hundred twenty-eight".