28475137152 has 576 divisors, whose sum is σ = 105119445600. Its totient is φ = 7376624640.

The previous prime is 28475137121. The next prime is 28475137153. The reversal of 28475137152 is 25173157482.

28475137152 is a `hidden beast` number, since 2 + 84 + 7 + 513 + 7 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×28475137152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28475137098 and 28475137107.

It is not an unprimeable number, because it can be changed into a prime (28475137153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75132099 + ... + 75132477.

Almost surely, 2^28475137152 is an apocalyptic number.

28475137152 is a gapful number since it is divisible by the number (22) 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 28475137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52559722800).

28475137152 is an abundant number, since it is smaller than the sum of its proper divisors (76644308448).

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

28475137152 is a wasteful number, since it uses less digits than its factorization.

28475137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 402 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 28475137152 in words is "twenty-eight billion, four hundred seventy-five million, one hundred thirty-seven thousand, one hundred fifty-two".