5328662400 has 288 divisors, whose sum is σ = 19378190520. Its totient is φ = 1393766400.

The previous prime is 5328662389. The next prime is 5328662401. The reversal of 5328662400 is 42668235.

5328662400 is a `hidden beast` number, since 5 + 3 + 28 + 6 + 624 + 0 + 0 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5328662401) 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, 1524655 + ... + 1528145.

Almost surely, 2^5328662400 is an apocalyptic number.

5328662400 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 5328662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689095260).

5328662400 is an abundant number, since it is smaller than the sum of its proper divisors (14049528120).

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

5328662400 is a wasteful number, since it uses less digits than its factorization.

5328662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5328662400 is about 72997.6876346094. The cubic root of 5328662400 is about 1746.6507259842.

The spelling of 5328662400 in words is "five billion, three hundred twenty-eight million, six hundred sixty-two thousand, four hundred".