28397524801464 has 1280 divisors, whose sum is σ = 106644916224000. Its totient is φ = 6853938094080.

The previous prime is 28397524801427. The next prime is 28397524801531. The reversal of 28397524801464 is 46410842579382.

28397524801464 is a `hidden beast` number, since 2 + 8 + 3 + 9 + 7 + 5 + 2 + 480 + 146 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3741928582 + ... + 3741936170.

It is an arithmetic number, because the mean of its divisors is an integer number (83316340800).

It is a 1-persistent number, because it is pandigital, but 2⋅28397524801464 = 56795049602928 is not.

Almost surely, 2^{28397524801464} is an apocalyptic number.

28397524801464 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 28397524801464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53322458112000).

28397524801464 is an abundant number, since it is smaller than the sum of its proper divisors (78247391422536).

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

28397524801464 is a wasteful number, since it uses less digits than its factorization.

28397524801464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 28397524801464 in words is "twenty-eight trillion, three hundred ninety-seven billion, five hundred twenty-four million, eight hundred one thousand, four hundred sixty-four".