11428502400 has 576 divisors, whose sum is σ = 47235726720. Its totient is φ = 2576977920.

The previous prime is 11428502359. The next prime is 11428502419. The reversal of 11428502400 is 420582411.

11428502400 is a `hidden beast` number, since 114 + 2 + 8 + 502 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11428502400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16732459 + ... + 16733141.

It is an arithmetic number, because the mean of its divisors is an integer number (82006470).

Almost surely, 2^11428502400 is an apocalyptic number.

11428502400 is a gapful number since it is divisible by the number (10) 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 11428502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617863360).

11428502400 is an abundant number, since it is smaller than the sum of its proper divisors (35807224320).

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

11428502400 is a wasteful number, since it uses less digits than its factorization.

11428502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 11428502400 in words is "eleven billion, four hundred twenty-eight million, five hundred two thousand, four hundred".