4951585728 has 336 divisors, whose sum is σ = 15621365760. Its totient is φ = 1551965184.

The previous prime is 4951585711. The next prime is 4951585747. The reversal of 4951585728 is 8275851594.

4951585728 is a `hidden beast` number, since 4 + 9 + 51 + 585 + 7 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38988801 + ... + 38988927.

It is an arithmetic number, because the mean of its divisors is an integer number (46492160).

Almost surely, 2^4951585728 is an apocalyptic number.

4951585728 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 4951585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810682880).

4951585728 is an abundant number, since it is smaller than the sum of its proper divisors (10669780032).

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

4951585728 is a wasteful number, since it uses less digits than its factorization.

4951585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The square root of 4951585728 is about 70367.5047731551. The cubic root of 4951585728 is about 1704.4388871476.

The spelling of 4951585728 in words is "four billion, nine hundred fifty-one million, five hundred eighty-five thousand, seven hundred twenty-eight".