5228966400 has 480 divisors, whose sum is σ = 20194838400. Its totient is φ = 1192181760.

The previous prime is 5228966399. The next prime is 5228966417. The reversal of 5228966400 is 46698225.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5228966400² = 54684179224657920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13171002 + ... + 13171398.

It is an arithmetic number, because the mean of its divisors is an integer number (42072580).

Almost surely, 2^5228966400 is an apocalyptic number.

5228966400 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 5228966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10097419200).

5228966400 is an abundant number, since it is smaller than the sum of its proper divisors (14965872000).

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

5228966400 is an equidigital number, since it uses as much as digits as its factorization.

5228966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 5228966400 is about 72311.5924316427. The cubic root of 5228966400 is about 1735.6891569704.

The spelling of 5228966400 in words is "five billion, two hundred twenty-eight million, nine hundred sixty-six thousand, four hundred".