5928354000 has 480 divisors, whose sum is σ = 22021403040. Its totient is φ = 1483776000.

The previous prime is 5928353999. The next prime is 5928354013. The reversal of 5928354000 is 4538295.

It can be written as a sum of positive squares in 16 ways, for example, as 5837571216 + 90782784 = 76404^2 + 9528^2 .

It is a super-2 number, since 2×5928354000² = 70290762298632000000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 21401862 + ... + 21402138.

It is an arithmetic number, because the mean of its divisors is an integer number (45877923).

Almost surely, 2^5928354000 is an apocalyptic number.

5928354000 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 5928354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010701520).

5928354000 is an abundant number, since it is smaller than the sum of its proper divisors (16093049040).

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

5928354000 is a wasteful number, since it uses less digits than its factorization.

5928354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5928354000 is about 76995.8050805367. The cubic root of 5928354000 is about 1809.8588659121.

The spelling of 5928354000 in words is "five billion, nine hundred twenty-eight million, three hundred fifty-four thousand".