28262201499360 has 768 divisors, whose sum is σ = 105273674956800. Its totient is φ = 7061441587200.

The previous prime is 28262201499353. The next prime is 28262201499361. The reversal of 28262201499360 is 6399410226282.

28262201499360 is a `hidden beast` number, since 2 + 8 + 2 + 622 + 0 + 1 + 4 + 9 + 9 + 3 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28262201499297 and 28262201499306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28262201499361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3450392865 + ... + 3450401055.

It is an arithmetic number, because the mean of its divisors is an integer number (137075097600).

Almost surely, 2^{28262201499360} is an apocalyptic number.

28262201499360 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 28262201499360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52636837478400).

28262201499360 is an abundant number, since it is smaller than the sum of its proper divisors (77011473457440).

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

28262201499360 is a wasteful number, since it uses less digits than its factorization.

28262201499360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 28262201499360 in words is "twenty-eight trillion, two hundred sixty-two billion, two hundred one million, four hundred ninety-nine thousand, three hundred sixty".