1954250928 has 480 divisors, whose sum is σ = 7090617600. Its totient is φ = 512096256.

The previous prime is 1954250917. The next prime is 1954250951. The reversal of 1954250928 is 8290524591.

It is a happy number.

1954250928 is a `hidden beast` number, since 19 + 542 + 5 + 0 + 92 + 8 = 666.

It is a super-2 number, since 2×1954250928² = 7638193379177722368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17294200 + ... + 17294312.

It is an arithmetic number, because the mean of its divisors is an integer number (14772120).

Almost surely, 2^1954250928 is an apocalyptic number.

1954250928 is a gapful number since it is divisible by the number (18) 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 1954250928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545308800).

1954250928 is an abundant number, since it is smaller than the sum of its proper divisors (5136366672).

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

1954250928 is a wasteful number, since it uses less digits than its factorization.

1954250928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1954250928 is about 44206.9104100253. The cubic root of 1954250928 is about 1250.2401518321.

The spelling of 1954250928 in words is "one billion, nine hundred fifty-four million, two hundred fifty thousand, nine hundred twenty-eight".