10700928 has 96 divisors (see below), whose sum is σ = 35218560. Its totient is φ = 3055104.

The previous prime is 10700927. The next prime is 10700947. The reversal of 10700928 is 82900701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10700928² = 229019720122368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10700923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7401 + ... + 8727.

It is an arithmetic number, because the mean of its divisors is an integer number (366860).

Almost surely, 2^10700928 is an apocalyptic number.

10700928 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 10700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17609280).

10700928 is an abundant number, since it is smaller than the sum of its proper divisors (24517632).

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

10700928 is a wasteful number, since it uses less digits than its factorization.

10700928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10700928 is about 3271.2272926228. The cubic root of 10700928 is about 220.3639155991.

It can be divided in two parts, 10700 and 928, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10700928 in words is "ten million, seven hundred thousand, nine hundred twenty-eight".