488728512 has 224 divisors, whose sum is σ = 1544970240. Its totient is φ = 150958080.

The previous prime is 488728489. The next prime is 488728531. The reversal of 488728512 is 215827884.

It is a happy number.

Its product of digits (286720) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3730687 + ... + 3730817.

Almost surely, 2^488728512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772485120).

488728512 is an abundant number, since it is smaller than the sum of its proper divisors (1056241728).

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

488728512 is a wasteful number, since it uses less digits than its factorization.

488728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 488728512 is about 22107.2049793727. The cubic root of 488728512 is about 787.6910157950.

It can be divided in two parts, 488 and 728512, that added together give a cube (729000 = 90³).

The spelling of 488728512 in words is "four hundred eighty-eight million, seven hundred twenty-eight thousand, five hundred twelve".