4728746880 has 384 divisors, whose sum is σ = 19187007840. Its totient is φ = 1057996800.

The previous prime is 4728746861. The next prime is 4728746909. The reversal of 4728746880 is 886478274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4728746880² = 44722094110219468800, which contains 22 as substring.

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, 820810 + ... + 826550.

Almost surely, 2^4728746880 is an apocalyptic number.

4728746880 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 4728746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593503920).

4728746880 is an abundant number, since it is smaller than the sum of its proper divisors (14458260960).

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

4728746880 is a wasteful number, since it uses less digits than its factorization.

4728746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 4728746880 is about 68765.8845649498. The cubic root of 4728746880 is about 1678.4768507672.

The spelling of 4728746880 in words is "four billion, seven hundred twenty-eight million, seven hundred forty-six thousand, eight hundred eighty".