5428166400 has 540 divisors, whose sum is σ = 20685684712. Its totient is φ = 1403412480.

The previous prime is 5428166357. The next prime is 5428166407. The reversal of 5428166400 is 46618245.

5428166400 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428166407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19180659 + ... + 19180941.

Almost surely, 2^5428166400 is an apocalyptic number.

5428166400 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 5428166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342842356).

5428166400 is an abundant number, since it is smaller than the sum of its proper divisors (15257518312).

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

5428166400 is a wasteful number, since it uses less digits than its factorization.

5428166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5428166400 is about 73676.0911015236. The cubic root of 5428166400 is about 1757.4556900311.

The spelling of 5428166400 in words is "five billion, four hundred twenty-eight million, one hundred sixty-six thousand, four hundred".