1928025 has 72 divisors (see below), whose sum is σ = 4062240. Its totient is φ = 864000.

The previous prime is 1928023. The next prime is 1928029. The reversal of 1928025 is 5208291.

1928025 = 111² + 112² + ... + 192².

It is not a de Polignac number, because 1928025 - 2¹ = 1928023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1928025.

It is not an unprimeable number, because it can be changed into a prime (1928023) 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 71 ways as a sum of consecutive naturals, for example, 47005 + ... + 47045.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2^1928025 is an apocalyptic number.

1928025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1928025 is an abundant number, since it is smaller than the sum of its proper divisors (2134215).

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

1928025 is a wasteful number, since it uses less digits than its factorization.

1928025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1928025 is about 1388.5333989501. The cubic root of 1928025 is about 124.4622230186.

The spelling of 1928025 in words is "one million, nine hundred twenty-eight thousand, twenty-five".