5928892200 has 960 divisors, whose sum is σ = 26467056000. Its totient is φ = 1219276800.

The previous prime is 5928892187. The next prime is 5928892213. The reversal of 5928892200 is 22988295.

It is an interprime number because it is at equal distance from previous prime (5928892187) and next prime (5928892213).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 61122552 + ... + 61122648.

It is an arithmetic number, because the mean of its divisors is an integer number (27569850).

Almost surely, 2^5928892200 is an apocalyptic number.

5928892200 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 5928892200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13233528000).

5928892200 is an abundant number, since it is smaller than the sum of its proper divisors (20538163800).

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

5928892200 is a wasteful number, since it uses less digits than its factorization.

5928892200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5928892200 is about 76999.2999968182. The cubic root of 5928892200 is about 1809.9136330288.

The spelling of 5928892200 in words is "five billion, nine hundred twenty-eight million, eight hundred ninety-two thousand, two hundred".