28997930586240 has 6144 divisors, whose sum is σ = 147902284800000. Its totient is φ = 5372621291520.

The previous prime is 28997930586227. The next prime is 28997930586329. The reversal of 28997930586240 is 4268503979982.

28997930586240 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 7 + 9 + 30 + 586 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1526206872951 + ... + 1526206872969.

It is an arithmetic number, because the mean of its divisors is an integer number (24072637500).

Almost surely, 2^{28997930586240} is an apocalyptic number.

28997930586240 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 28997930586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73951142400000).

28997930586240 is an abundant number, since it is smaller than the sum of its proper divisors (118904354213760).

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

28997930586240 is an equidigital number, since it uses as much as digits as its factorization.

28997930586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 28997930586240 in words is "twenty-eight trillion, nine hundred ninety-seven billion, nine hundred thirty million, five hundred eighty-six thousand, two hundred forty".