4928040000 has 735 divisors, whose sum is σ = 19839284553. Its totient is φ = 1213056000.

The previous prime is 4928039971. The next prime is 4928040031. The reversal of 4928040000 is 408294.

The square root of 4928040000 is 70200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4867573824 + 60466176 = 69768^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 379079994 + ... + 379080006.

Almost surely, 2^4928040000 is an apocalyptic number.

4928040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4928040000 is the 70200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4928040000

4928040000 is an abundant number, since it is smaller than the sum of its proper divisors (14911244553).

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

4928040000 is an frugal number, since it uses more digits than its factorization.

4928040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 4928040000 is about 1701.7329502769.

Multiplying 4928040000 by its product of nonzero digits (2304), we get a square (11354204160000 = 3369600²).

Adding to 4928040000 its reverse (408294), we get a palindrome (4928448294).

The spelling of 4928040000 in words is "four billion, nine hundred twenty-eight million, forty thousand".