487928448 has 288 divisors, whose sum is σ = 1686353760. Its totient is φ = 137728512.

The previous prime is 487928443. The next prime is 487928449. The reversal of 487928448 is 844829784.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4128768) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 487928394 and 487928403.

It is not an unprimeable number, because it can be changed into a prime (487928443) 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 35 ways as a sum of consecutive naturals, for example, 5878615 + ... + 5878697.

It is an arithmetic number, because the mean of its divisors is an integer number (5855395).

Almost surely, 2^487928448 is an apocalyptic number.

487928448 is a gapful number since it is divisible by the number (48) 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 487928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843176880).

487928448 is an abundant number, since it is smaller than the sum of its proper divisors (1198425312).

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

487928448 is an frugal number, since it uses more digits than its factorization.

487928448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 487928448 is about 22089.1024715809. The cubic root of 487928448 is about 787.2609560175.

The spelling of 487928448 in words is "four hundred eighty-seven million, nine hundred twenty-eight thousand, four hundred forty-eight".