28967077440 has 672 divisors, whose sum is σ = 119867354880. Its totient is φ = 6530347008.

The previous prime is 28967077429. The next prime is 28967077441. The reversal of 28967077440 is 4477076982.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (28967077441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396809244 + ... + 396809316.

It is an arithmetic number, because the mean of its divisors is an integer number (178374040).

Almost surely, 2^28967077440 is an apocalyptic number.

28967077440 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 28967077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59933677440).

28967077440 is an abundant number, since it is smaller than the sum of its proper divisors (90900277440).

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

28967077440 is an frugal number, since it uses more digits than its factorization.

28967077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 28967077440 in words is "twenty-eight billion, nine hundred sixty-seven million, seventy-seven thousand, four hundred forty".