4928536267200 has 1008 divisors, whose sum is σ = 21999886708800. Its totient is φ = 1039853445120.

The previous prime is 4928536267169. The next prime is 4928536267219. The reversal of 4928536267200 is 27626358294.

4928536267200 is a `hidden beast` number, since 4 + 9 + 2 + 8 + 5 + 3 + 626 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64171222 + ... + 64247978.

Almost surely, 2^{4928536267200} is an apocalyptic number.

4928536267200 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 4928536267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999943354400).

4928536267200 is an abundant number, since it is smaller than the sum of its proper divisors (17071350441600).

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

4928536267200 is a wasteful number, since it uses less digits than its factorization.

4928536267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76819 (or 76787 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4928536267200 in words is "four trillion, nine hundred twenty-eight billion, five hundred thirty-six million, two hundred sixty-seven thousand, two hundred".