10738828110 has 128 divisors (see below), whose sum is σ = 28078202880. Its totient is φ = 2620569600.

The previous prime is 10738828109. The next prime is 10738828231. The reversal of 10738828110 is 1182883701.

10738828110 = T₄ + T₅ + ... + T₄₀₀₈.

It is a super-2 number, since 2×10738828110² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1900890 + ... + 1906530.

It is an arithmetic number, because the mean of its divisors is an integer number (219360960).

Almost surely, 2^10738828110 is an apocalyptic number.

10738828110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10738828110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039101440).

10738828110 is an abundant number, since it is smaller than the sum of its proper divisors (17339374770).

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

10738828110 is a wasteful number, since it uses less digits than its factorization.

10738828110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794.

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 10738828110 in words is "ten billion, seven hundred thirty-eight million, eight hundred twenty-eight thousand, one hundred ten".