487728000 has 256 divisors, whose sum is σ = 1798056000. Its totient is φ = 129945600.

The previous prime is 487727993. The next prime is 487728019. The reversal of 487728000 is 827784.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431436 + ... + 432564.

Almost surely, 2^487728000 is an apocalyptic number.

487728000 is a gapful number since it is divisible by the number (40) 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 487728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899028000).

487728000 is an abundant number, since it is smaller than the sum of its proper divisors (1310328000).

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

487728000 is a wasteful number, since it uses less digits than its factorization.

487728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 487728000 is about 22084.5647455412. The cubic root of 487728000 is about 787.1531352231.

The spelling of 487728000 in words is "four hundred eighty-seven million, seven hundred twenty-eight thousand".