28541890944 has 640 divisors, whose sum is σ = 102369484800. Its totient is φ = 7722086400.

The previous prime is 28541890943. The next prime is 28541890981. The reversal of 28541890944 is 44909814582.

It is a happy number.

28541890944 is a `hidden beast` number, since 2 + 8 + 541 + 8 + 9 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×28541890944² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28541890943) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149433889 + ... + 149434079.

It is an arithmetic number, because the mean of its divisors is an integer number (159952320).

Almost surely, 2^28541890944 is an apocalyptic number.

28541890944 is a gapful number since it is divisible by the number (24) 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 28541890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184742400).

28541890944 is an abundant number, since it is smaller than the sum of its proper divisors (73827593856).

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

28541890944 is a wasteful number, since it uses less digits than its factorization.

28541890944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 28541890944 in words is "twenty-eight billion, five hundred forty-one million, eight hundred ninety thousand, nine hundred forty-four".