5477328000 has 512 divisors, whose sum is σ = 20876544000. Its totient is φ = 1410048000.

The previous prime is 5477327987. The next prime is 5477328001. The reversal of 5477328000 is 8237745.

5477328000 is a `hidden beast` number, since 547 + 7 + 32 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×5477328000² = 60002244039168000000, which contains 22 as substring.

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 (5477328001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13391796 + ... + 13392204.

It is an arithmetic number, because the mean of its divisors is an integer number (40774500).

Almost surely, 2^5477328000 is an apocalyptic number.

5477328000 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 5477328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438272000).

5477328000 is an abundant number, since it is smaller than the sum of its proper divisors (15399216000).

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

5477328000 is a wasteful number, since it uses less digits than its factorization.

5477328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5477328000 is about 74008.9724290238. The cubic root of 5477328000 is about 1762.7453709992.

The spelling of 5477328000 in words is "five billion, four hundred seventy-seven million, three hundred twenty-eight thousand".