5472028800 has 288 divisors, whose sum is σ = 22315625280. Its totient is φ = 1250703360.

The previous prime is 5472028789. The next prime is 5472028801. The reversal of 5472028800 is 88202745.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5472028801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188029 + ... + 215171.

It is an arithmetic number, because the mean of its divisors is an integer number (77484810).

Almost surely, 2^5472028800 is an apocalyptic number.

5472028800 is a gapful number since it is divisible by the number (50) 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 5472028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11157812640).

5472028800 is an abundant number, since it is smaller than the sum of its proper divisors (16843596480).

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

5472028800 is a wasteful number, since it uses less digits than its factorization.

5472028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27180 (or 27160 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5472028800 is about 73973.1627010769. The cubic root of 5472028800 is about 1762.1767145093.

The spelling of 5472028800 in words is "five billion, four hundred seventy-two million, twenty-eight thousand, eight hundred".