4261724928 has 360 divisors, whose sum is σ = 13874876400. Its totient is φ = 1295917056.

The previous prime is 4261724927. The next prime is 4261724939. The reversal of 4261724928 is 8294271624.

4261724928 is a `hidden beast` number, since 4 + 2 + 617 + 2 + 4 + 9 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (4261724921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11425350 + ... + 11425722.

Almost surely, 2^4261724928 is an apocalyptic number.

4261724928 is a gapful number since it is divisible by the number (48) 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 4261724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937438200).

4261724928 is an abundant number, since it is smaller than the sum of its proper divisors (9613151472).

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

4261724928 is a wasteful number, since it uses less digits than its factorization.

4261724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 426 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4261724928 is about 65281.8882079861. Note that the first 3 decimals coincide. The cubic root of 4261724928 is about 1621.2941099795.

The spelling of 4261724928 in words is "four billion, two hundred sixty-one million, seven hundred twenty-four thousand, nine hundred twenty-eight".