1928400 has 60 divisors (see below), whose sum is σ = 6181152. Its totient is φ = 513920.

The previous prime is 1928387. The next prime is 1928401. The reversal of 1928400 is 48291.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928401) by changing a digit.

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, 397 + ... + 2003.

2^1928400 is an apocalyptic number.

1928400 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 1928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090576).

1928400 is an abundant number, since it is smaller than the sum of its proper divisors (4252752).

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

1928400 is a wasteful number, since it uses less digits than its factorization.

1928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1928400 is about 1388.6684269472. The cubic root of 1928400 is about 124.4702917777.

The spelling of 1928400 in words is "one million, nine hundred twenty-eight thousand, four hundred".