1928820 has 96 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 460800.

The previous prime is 1928813. The next prime is 1928821. The reversal of 1928820 is 288291.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31590 + ... + 31650.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

2^1928820 is an apocalyptic number.

1928820 is a gapful number since it is divisible by the number (10) 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 1928820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

1928820 is an abundant number, since it is smaller than the sum of its proper divisors (4070796).

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

1928820 is a wasteful number, since it uses less digits than its factorization.

1928820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1928820 is about 1388.8196427182. The cubic root of 1928820 is about 124.4793275462.

The spelling of 1928820 in words is "one million, nine hundred twenty-eight thousand, eight hundred twenty".