11202625728 has 448 divisors, whose sum is σ = 40221895680. Its totient is φ = 2984656896.

The previous prime is 11202625667. The next prime is 11202625769. The reversal of 11202625728 is 82752620211.

It is a happy number.

11202625728 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 2 + 625 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 11202625692 and 11202625701.

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, 32284051 + ... + 32284397.

Almost surely, 2^11202625728 is an apocalyptic number.

11202625728 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 11202625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110947840).

11202625728 is an abundant number, since it is smaller than the sum of its proper divisors (29019269952).

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

11202625728 is a wasteful number, since it uses less digits than its factorization.

11202625728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11202625728 in words is "eleven billion, two hundred two million, six hundred twenty-five thousand, seven hundred twenty-eight".