28440461448 has 384 divisors, whose sum is σ = 96676070400. Its totient is φ = 7651770624.

The previous prime is 28440461437. The next prime is 28440461479. The reversal of 28440461448 is 84416404482.

28440461448 is a `hidden beast` number, since 28 + 4 + 4 + 0 + 4 + 614 + 4 + 8 = 666.

It is a Cunningham number, because it is equal to 168643²-1.

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, 81960811 + ... + 81961157.

It is an arithmetic number, because the mean of its divisors is an integer number (251760600).

Almost surely, 2^28440461448 is an apocalyptic number.

28440461448 is a gapful number since it is divisible by the number (28) 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 28440461448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48338035200).

28440461448 is an abundant number, since it is smaller than the sum of its proper divisors (68235608952).

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

28440461448 is a wasteful number, since it uses less digits than its factorization.

28440461448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 28440461448 in words is "twenty-eight billion, four hundred forty million, four hundred sixty-one thousand, four hundred forty-eight".