28467901440 has 704 divisors, whose sum is σ = 112082584320. Its totient is φ = 6794772480.

The previous prime is 28467901411. The next prime is 28467901447. The reversal of 28467901440 is 4410976482.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28467901447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147501984 + ... + 147502176.

Almost surely, 2^28467901440 is an apocalyptic number.

28467901440 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 28467901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56041292160).

28467901440 is an abundant number, since it is smaller than the sum of its proper divisors (83614682880).

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

28467901440 is a wasteful number, since it uses less digits than its factorization.

28467901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28467901440 in words is "twenty-eight billion, four hundred sixty-seven million, nine hundred one thousand, four hundred forty".