1572882948 has 180 divisors, whose sum is σ = 5151755532. Its totient is φ = 414771840.

The previous prime is 1572882943. The next prime is 1572882953. The reversal of 1572882948 is 8492882751.

1572882948 is a `hidden beast` number, since 1 + 572 + 8 + 8 + 29 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1572882943) and next prime (1572882953).

It can be written as a sum of positive squares in 2 ways, for example, as 825297984 + 747584964 = 28728^2 + 27342^2 .

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 = 1572882894 and 1572882903.

It is not an unprimeable number, because it can be changed into a prime (1572882943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 202578 + ... + 210198.

Almost surely, 2^1572882948 is an apocalyptic number.

1572882948 is a gapful number since it is divisible by the number (18) 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 1572882948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575877766).

1572882948 is an abundant number, since it is smaller than the sum of its proper divisors (3578872584).

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

1572882948 is a wasteful number, since it uses less digits than its factorization.

1572882948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664 (or 7646 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 1572882948 is about 39659.5883488470. The cubic root of 1572882948 is about 1162.9618493701.

The spelling of 1572882948 in words is "one billion, five hundred seventy-two million, eight hundred eighty-two thousand, nine hundred forty-eight".