10077328 has 20 divisors (see below), whose sum is σ = 20673900. Its totient is φ = 4742144.

The previous prime is 10077293. The next prime is 10077329. The reversal of 10077328 is 82377001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4545424 + 5531904 = 2132^2 + 2352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10077296 and 10077305.

It is not an unprimeable number, because it can be changed into a prime (10077329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18253 + ... + 18796.

It is an arithmetic number, because the mean of its divisors is an integer number (1033695).

Almost surely, 2^10077328 is an apocalyptic number.

It is an amenable number.

10077328 is an abundant number, since it is smaller than the sum of its proper divisors (10596572).

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

10077328 is a wasteful number, since it uses less digits than its factorization.

10077328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37074 (or 37068 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10077328 is about 3174.4807449408. The cubic root of 10077328 is about 215.9973707956.

The spelling of 10077328 in words is "ten million, seventy-seven thousand, three hundred twenty-eight".