4928083200 has 648 divisors, whose sum is σ = 19313347200. Its totient is φ = 1229230080.

The previous prime is 4928083133. The next prime is 4928083213. The reversal of 4928083200 is 23808294.

It is a super-2 number, since 2×4928083200² = 48572008052244480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 62380761 + ... + 62380839.

Almost surely, 2^4928083200 is an apocalyptic number.

4928083200 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 4928083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656673600).

4928083200 is an abundant number, since it is smaller than the sum of its proper divisors (14385264000).

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

4928083200 is a wasteful number, since it uses less digits than its factorization.

4928083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4928083200 is about 70200.3076916334. The cubic root of 4928083200 is about 1701.7379228183.

The spelling of 4928083200 in words is "four billion, nine hundred twenty-eight million, eighty-three thousand, two hundred".