1928900 has 18 divisors (see below), whose sum is σ = 4185930. Its totient is φ = 771520.

The previous prime is 1928873. The next prime is 1928929. The reversal of 1928900 is 98291.

It can be written as a sum of positive squares in 3 ways, for example, as 228484 + 1700416 = 478^2 + 1304^2 .

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9545 + ... + 9744.

2^1928900 is an apocalyptic number.

1928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1928900 is an abundant number, since it is smaller than the sum of its proper divisors (2257030).

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

1928900 is a wasteful number, since it uses less digits than its factorization.

1928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19303 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 1928900 is about 1388.8484438556. The cubic root of 1928900 is about 124.4810484962.

Subtracting from 1928900 its reverse (98291), we obtain a square (1830609 = 1353²).

The spelling of 1928900 in words is "one million, nine hundred twenty-eight thousand, nine hundred".