10078128 has 80 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 3271680.

The previous prime is 10078063. The next prime is 10078129. The reversal of 10078128 is 82187001.

10078128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10078129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17428 + ... + 17996.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^10078128 is an apocalyptic number.

10078128 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 10078128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

10078128 is an abundant number, since it is smaller than the sum of its proper divisors (19607472).

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

10078128 is a wasteful number, since it uses less digits than its factorization.

10078128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 10078128 is about 3174.6067472996. The cubic root of 10078128 is about 216.0030863757.

Multiplying 10078128 by its sum of digits (27), we get a triangular number (272109456 = T₂₃₃₂₈).

The spelling of 10078128 in words is "ten million, seventy-eight thousand, one hundred twenty-eight".