4670893728 has 384 divisors, whose sum is σ = 15240960000. Its totient is φ = 1384998912.

The previous prime is 4670893697. The next prime is 4670893753. The reversal of 4670893728 is 8273980764.

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

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 63 ways as a sum of consecutive naturals, for example, 33603483 + ... + 33603621.

It is an arithmetic number, because the mean of its divisors is an integer number (39690000).

Almost surely, 2^4670893728 is an apocalyptic number.

4670893728 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 4670893728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480000).

4670893728 is an abundant number, since it is smaller than the sum of its proper divisors (10570066272).

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

4670893728 is a wasteful number, since it uses less digits than its factorization.

4670893728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 4670893728 is about 68343.9370244355. The cubic root of 4670893728 is about 1671.6037193371.

The spelling of 4670893728 in words is "four billion, six hundred seventy million, eight hundred ninety-three thousand, seven hundred twenty-eight".