977328 has 60 divisors (see below), whose sum is σ = 2988648. Its totient is φ = 295680.

The previous prime is 977323. The next prime is 977351. The reversal of 977328 is 823779.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 977292 and 977301.

It is not an unprimeable number, because it can be changed into a prime (977323) by changing a digit.

977328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1276 + ... + 1892.

2⁹⁷⁷³²⁸ 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 977328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494324).

977328 is an abundant number, since it is smaller than the sum of its proper divisors (2011320).

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

977328 is a wasteful number, since it uses less digits than its factorization.

977328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 633 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 977328 is about 988.5990086987. The cubic root of 977328 is about 99.2384822949.

It can be divided in two parts, 9773 and 28, that added together give a square (9801 = 99²).

The spelling of 977328 in words is "nine hundred seventy-seven thousand, three hundred twenty-eight".