28755019440 has 400 divisors, whose sum is σ = 114769797120. Its totient is φ = 6536194560.

The previous prime is 28755019409. The next prime is 28755019459. The reversal of 28755019440 is 4491055782.

28755019440 is a `hidden beast` number, since 2 + 8 + 7 + 550 + 1 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×28755019440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8662101 + ... + 8665419.

Almost surely, 2^28755019440 is an apocalyptic number.

28755019440 is a gapful number since it is divisible by the number (20) 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 28755019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57384898560).

28755019440 is an abundant number, since it is smaller than the sum of its proper divisors (86014777680).

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

28755019440 is a wasteful number, since it uses less digits than its factorization.

28755019440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 28755019440 in words is "twenty-eight billion, seven hundred fifty-five million, nineteen thousand, four hundred forty".