962928 has 50 divisors (see below), whose sum is σ = 2790744. Its totient is φ = 320544.

The previous prime is 962921. The next prime is 962959. The reversal of 962928 is 829269.

962928 is a `hidden beast` number, since 9 + 629 + 28 = 666.

962928 is digitally balanced in base 2, because in such base 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 962892 and 962901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962921) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 925 + ... + 1667.

2⁹⁶²⁹²⁸ 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 962928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395372).

962928 is an abundant number, since it is smaller than the sum of its proper divisors (1827816).

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

962928 is a wasteful number, since it uses less digits than its factorization.

962928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 748 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 962928 is about 981.2889482716. The cubic root of 962928 is about 98.7486738058.

Subtracting from 962928 its product of digits (15552), we obtain a triangular number (947376 = T₁₃₇₆).

The spelling of 962928 in words is "nine hundred sixty-two thousand, nine hundred twenty-eight".