234972577728 has 448 divisors, whose sum is σ = 798696944640. Its totient is φ = 66355200000.

The previous prime is 234972577703. The next prime is 234972577771. The reversal of 234972577728 is 827775279432.

234972577728 is a `hidden beast` number, since 2 + 3 + 497 + 2 + 5 + 77 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×234972577728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585966328 + ... + 585966728.

It is an arithmetic number, because the mean of its divisors is an integer number (1782805680).

Almost surely, 2^234972577728 is an apocalyptic number.

234972577728 is a gapful number since it is divisible by the number (28) 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 234972577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399348472320).

234972577728 is an abundant number, since it is smaller than the sum of its proper divisors (563724366912).

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

234972577728 is a wasteful number, since it uses less digits than its factorization.

234972577728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 234972577728 in words is "two hundred thirty-four billion, nine hundred seventy-two million, five hundred seventy-seven thousand, seven hundred twenty-eight".