5428038420 has 240 divisors, whose sum is σ = 19618959360. Its totient is φ = 1230598656.

The previous prime is 5428038419. The next prime is 5428038461. The reversal of 5428038420 is 248308245.

5428038420 is a `hidden beast` number, since 542 + 80 + 38 + 4 + 2 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1438296 + ... + 1442064.

It is an arithmetic number, because the mean of its divisors is an integer number (81745664).

Almost surely, 2^5428038420 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 5428038420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9809479680).

5428038420 is an abundant number, since it is smaller than the sum of its proper divisors (14190920940).

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

5428038420 is a wasteful number, since it uses less digits than its factorization.

5428038420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5428038420 is about 73675.2225649845. Note that the first 3 decimals coincide. The cubic root of 5428038420 is about 1757.4418780652.

The spelling of 5428038420 in words is "five billion, four hundred twenty-eight million, thirty-eight thousand, four hundred twenty".