28953469440 has 960 divisors, whose sum is σ = 121899697920. Its totient is φ = 6449725440.

The previous prime is 28953469439. The next prime is 28953469451. The reversal of 28953469440 is 4496435982.

28953469440 is a `hidden beast` number, since 2 + 8 + 9 + 534 + 69 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×28953469440² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265628106 + ... + 265628214.

It is an arithmetic number, because the mean of its divisors is an integer number (126978852).

Almost surely, 2^28953469440 is an apocalyptic number.

28953469440 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 28953469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60949848960).

28953469440 is an abundant number, since it is smaller than the sum of its proper divisors (92946228480).

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

28953469440 is an equidigital number, since it uses as much as digits as its factorization.

28953469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 28953469440 in words is "twenty-eight billion, nine hundred fifty-three million, four hundred sixty-nine thousand, four hundred forty".