4928364000 has 960 divisors, whose sum is σ = 21576627072. Its totient is φ = 1078272000.

The previous prime is 4928363989. The next prime is 4928364011. The reversal of 4928364000 is 4638294.

It is a happy number.

4928364000 is a `hidden beast` number, since 4 + 9 + 2 + 8 + 3 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4928363989) and next prime (4928364011).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92987974 + ... + 92988026.

Almost surely, 2^4928364000 is an apocalyptic number.

4928364000 is a gapful number since it is divisible by the number (40) 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 4928364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10788313536).

4928364000 is an abundant number, since it is smaller than the sum of its proper divisors (16648263072).

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

4928364000 is a wasteful number, since it uses less digits than its factorization.

4928364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4928364000 is about 70202.3076543784. The cubic root of 4928364000 is about 1701.7702436290.

The spelling of 4928364000 in words is "four billion, nine hundred twenty-eight million, three hundred sixty-four thousand".