4928493493728 has 1920 divisors, whose sum is σ = 18870108364800. Its totient is φ = 1255367393280.

The previous prime is 4928493493691. The next prime is 4928493493753. The reversal of 4928493493728 is 8273943948294.

4928493493728 is a `hidden beast` number, since 4 + 9 + 28 + 4 + 93 + 493 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31391678226 + ... + 31391678382.

It is an arithmetic number, because the mean of its divisors is an integer number (9828181440).

Almost surely, 2^{4928493493728} is an apocalyptic number.

4928493493728 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 4928493493728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9435054182400).

4928493493728 is an abundant number, since it is smaller than the sum of its proper divisors (13941614871072).

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

4928493493728 is a wasteful number, since it uses less digits than its factorization.

4928493493728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 284 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 4928493493728 in words is "four trillion, nine hundred twenty-eight billion, four hundred ninety-three million, four hundred ninety-three thousand, seven hundred twenty-eight".