1648028880 has 60 divisors (see below), whose sum is σ = 5534632740. Its totient is φ = 439474176.

The previous prime is 1648028857. The next prime is 1648028881. The reversal of 1648028880 is 888208461.

It is a happy number.

1648028880 is a `hidden beast` number, since 16 + 480 + 2 + 88 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 884943504 + 763085376 = 29748^2 + 27624^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648028881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143745 + ... + 1145184.

It is an arithmetic number, because the mean of its divisors is an integer number (92243879).

Almost surely, 2^1648028880 is an apocalyptic number.

1648028880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1648028880 is an abundant number, since it is smaller than the sum of its proper divisors (3886603860).

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

1648028880 is a wasteful number, since it uses less digits than its factorization.

1648028880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288948 (or 2288939 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1648028880 is about 40595.9219626799. The cubic root of 1648028880 is about 1181.1950165051.

The spelling of 1648028880 in words is "one billion, six hundred forty-eight million, twenty-eight thousand, eight hundred eighty".