28438363133400 has 288 divisors, whose sum is σ = 102163417462080. Its totient is φ = 6488610048000.

The previous prime is 28438363133357. The next prime is 28438363133441. The reversal of 28438363133400 is 433136383482.

It is a self number, because there is not a number n which added to its sum of digits gives 28438363133400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5547346 + ... + 9362145.

It is an arithmetic number, because the mean of its divisors is an integer number (354734088410).

Almost surely, 2^{28438363133400} is an apocalyptic number.

28438363133400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28438363133400 is an abundant number, since it is smaller than the sum of its proper divisors (73725054328680).

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

28438363133400 is a wasteful number, since it uses less digits than its factorization.

28438363133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14909555 (or 14909529 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 28438363133400 in words is "twenty-eight trillion, four hundred thirty-eight billion, three hundred sixty-three million, one hundred thirty-three thousand, four hundred".