5782263948 has 192 divisors, whose sum is σ = 16328995200. Its totient is φ = 1765048320.

The previous prime is 5782263931. The next prime is 5782263953. The reversal of 5782263948 is 8493622875.

5782263948 is a `hidden beast` number, since 578 + 2 + 2 + 63 + 9 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5782263894 and 5782263903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4750636 + ... + 4751852.

It is an arithmetic number, because the mean of its divisors is an integer number (85046850).

Almost surely, 2^5782263948 is an apocalyptic number.

5782263948 is a gapful number since it is divisible by the number (58) 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 5782263948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164497600).

5782263948 is an abundant number, since it is smaller than the sum of its proper divisors (10546731252).

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

5782263948 is a wasteful number, since it uses less digits than its factorization.

5782263948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1329 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 5782263948 is about 76041.1990173748. The cubic root of 5782263948 is about 1794.8685071131.

The spelling of 5782263948 in words is "five billion, seven hundred eighty-two million, two hundred sixty-three thousand, nine hundred forty-eight".