487772928 has 108 divisors (see below), whose sum is σ = 1458643368. Its totient is φ = 162570240.

The previous prime is 487772927. The next prime is 487772947. The reversal of 487772928 is 829277784.

487772928 is a `hidden beast` number, since 487 + 7 + 72 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is not an unprimeable number, because it can be changed into a prime (487772927) 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, 58288 + ... + 66128.

Almost surely, 2^487772928 is an apocalyptic number.

487772928 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 487772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729321684).

487772928 is an abundant number, since it is smaller than the sum of its proper divisors (970870440).

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

487772928 is an frugal number, since it uses more digits than its factorization.

487772928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7872 (or 7846 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 487772928 is about 22085.5819031331. The cubic root of 487772928 is about 787.1773045212.

The spelling of 487772928 in words is "four hundred eighty-seven million, seven hundred seventy-two thousand, nine hundred twenty-eight".