1428077952 has 288 divisors, whose sum is σ = 4962714120. Its totient is φ = 407586816.

The previous prime is 1428077933. The next prime is 1428077971. The reversal of 1428077952 is 2597708241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1428077933) and next prime (1428077971).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1428077898 and 1428077907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523628 + ... + 1524564.

Almost surely, 2^1428077952 is an apocalyptic number.

1428077952 is a gapful number since it is divisible by the number (12) 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 1428077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481357060).

1428077952 is an abundant number, since it is smaller than the sum of its proper divisors (3534636168).

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

1428077952 is an frugal number, since it uses more digits than its factorization.

1428077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1428077952 is about 37789.9186556415. The cubic root of 1428077952 is about 1126.1181842220.

The spelling of 1428077952 in words is "one billion, four hundred twenty-eight million, seventy-seven thousand, nine hundred fifty-two".