11024252928 has 420 divisors, whose sum is σ = 36100845648. Its totient is φ = 3344302080.

The previous prime is 11024252923. The next prime is 11024252933. The reversal of 11024252928 is 82925242011.

11024252928 is a `hidden beast` number, since 1 + 102 + 4 + 2 + 529 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (11024252923) and next prime (11024252933).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11024252892 and 11024252901.

It is not an unprimeable number, because it can be changed into a prime (11024252923) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 155271133 + ... + 155271203.

Almost surely, 2^11024252928 is an apocalyptic number.

11024252928 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 11024252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050422824).

11024252928 is an abundant number, since it is smaller than the sum of its proper divisors (25076592720).

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

11024252928 is an frugal number, since it uses more digits than its factorization.

11024252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 11024252928 its reverse (82925242011), we get a palindrome (93949494939).

The spelling of 11024252928 in words is "eleven billion, twenty-four million, two hundred fifty-two thousand, nine hundred twenty-eight".