28401246720 has 720 divisors, whose sum is σ = 124876971648. Its totient is φ = 5898977280.

The previous prime is 28401246667. The next prime is 28401246733. The reversal of 28401246720 is 2764210482.

28401246720 is a `hidden beast` number, since 2 + 8 + 401 + 246 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12417417 + ... + 12419703.

Almost surely, 2^28401246720 is an apocalyptic number.

28401246720 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 28401246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62438485824).

28401246720 is an abundant number, since it is smaller than the sum of its proper divisors (96475724928).

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

28401246720 is a wasteful number, since it uses less digits than its factorization.

28401246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 28401246720 in words is "twenty-eight billion, four hundred one million, two hundred forty-six thousand, seven hundred twenty".