1682928 has 120 divisors (see below), whose sum is σ = 5416320. Its totient is φ = 483840.

The previous prime is 1682911. The next prime is 1682939. The reversal of 1682928 is 8292861.

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 = 1682892 and 1682901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54273 + ... + 54303.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2^1682928 is an apocalyptic number.

1682928 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 1682928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708160).

1682928 is an abundant number, since it is smaller than the sum of its proper divisors (3733392).

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

1682928 is a wasteful number, since it uses less digits than its factorization.

1682928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1682928 is about 1297.2771484922. The cubic root of 1682928 is about 118.9474616841.

It can be divided in two parts, 1682 and 928, that multiplied together give a cube (1560896 = 116³).

The spelling of 1682928 in words is "one million, six hundred eighty-two thousand, nine hundred twenty-eight".