5400476928 has 576 divisors, whose sum is σ = 20328806400. Its totient is φ = 1373552640.

The previous prime is 5400476927. The next prime is 5400476957. The reversal of 5400476928 is 8296740045.

It is a happy number.

5400476928 is a `hidden beast` number, since 540 + 0 + 47 + 69 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5400476927) 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, 38852283 + ... + 38852421.

Almost surely, 2^5400476928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5400476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164403200).

5400476928 is an abundant number, since it is smaller than the sum of its proper divisors (14928329472).

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

5400476928 is a wasteful number, since it uses less digits than its factorization.

5400476928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5400476928 is about 73487.9372958583. The cubic root of 5400476928 is about 1754.4622912566.

The spelling of 5400476928 in words is "five billion, four hundred million, four hundred seventy-six thousand, nine hundred twenty-eight".